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Find the measure of k

Find The Measure Of K class=

Sagot :

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.