Find the measure of k

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Rubio05011999 Rubio05011999

06-05-2021
Mathematics

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Find the measure of k

Sagot :

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ivycoveredwalls ivycoveredwalls · Answer 1 · 2021-05-08T16:36:09-04:00

ivycoveredwalls ivycoveredwalls

08-05-2021

Answer:

k = 56 degrees

Step-by-step explanation:

The big triangle is isosceles so the base angles are congruent. The total angle measure is 180, so the base angles are half of 180 - 56 = 124. The base angle at the lower right measures 62 degrees.

The inner triangle is also isosceles. Both its base angles must measure 62 degrees (total = 124, again!). The remaining angle, k , measures 180 - 124 = 56.

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