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Geometry - Find Angle










































Given: measure of angle N= 120, line JN is congruent to line MN, and triangle JNM is congruent to triangle KLM.
Find: measure of angle JKM

Comments for Geometry - Find Angle

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Nov 15, 2011
Geometry - Find Angle
by: Staff

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Part II


Since △JNM and △KLM are both isosceles triangles with the largest angle (∠N and ∠L) equal to 120°, the two smaller angles can be calculated as follows:

Smaller angle = (180° - 120°)/2 = 30°

∠NJM = 30°

∠NMJ = 30°

∠LMK = 30°

∠LKM = 30°



Open the following link to view the annotated diagram which shows both triangles, their sides, and all angles (Figure 4):


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http://www.solving-math-problems.com/images/Triangles-JNM-KLM-angles-fig-4-2011-11-14.png




∠JMK = can now be calculated

∠JMK = 180° - ∠NMJ

∠JMK = 180° - 30°

∠JMK = 150°




Open the following link to view ∠JMK:


(1) If your browser is Firefox, click the following link to VIEW ; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

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http://www.solving-math-problems.com/images/Triangle-JKM-angle-JKM-fig-5-2011-11-14.png



Since △JKM is an isosceles triangles with its the largest angle (∠JMK) equal to 150°, the two smaller angles can be calculated as follows:

Smaller angle = (180° - 150°)/2 = 15°

∠JKM = 15°

∠KJM = 15°






Open the following link to view all the angles for triangle JKM (Figure 6):

(1) If your browser is Firefox, click the following link to VIEW ; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/Triangle-JKM-angles-fig-6-2011-11-14.png



The final answer to your question is: ∠JKM = 15°






Thanks for writing.

Staff
www.solving-math-problems.com



Nov 15, 2011
Geometry - Find Angle
by: Staff

Part I

Question:

Given: measure of angle N= 120, line JN is congruent to line MN, and triangle JNM is congruent to triangle KLM.

Find: measure of angle JKM


Answer:

The solution to this problem is shown in the following six steps.


Open the following link to view diagram of this problem (Figure 1).


(1) If your browser is Firefox, click the following link to VIEW ; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/Triangles-JNM-KLM-JKM-fig-1-2011-11-14.png




Triangles JNM and KLM are congruent.


Open the following link to view an annotated diagram which highlights the sides of these two triangles (Figure 2).



(1) If your browser is Firefox, click the following link to VIEW ; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

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http://www.solving-math-problems.com/images/Triangles-JNM-KLM-congruent-fig-2-2011-11-14.png




∠N = ∠L = 120°

Open the following link to view ∠N and ∠L (Figure 3).





(1) If your browser is Firefox, click the following link to VIEW ; or if your browser is Chrome, Internet Explorer, Opera, or Safari (2A) highlight and copy the link, then (2B) paste the link into your browser Address bar & press enter:

Use the Backspace key to return to this page:

http://www.solving-math-problems.com/images/Triangles-angle-N-L-120-fig-3-2011-11-14.png

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