Question

In ΔABC, ∠B=75°. The exterior angle at C and the interior ∠B are in the ratio 2:1. Find the measures of the interior angles ∠C and ∠A.

∠C=

∠A=

Answer 1

Answer:

a=70 degree

c=70 degree

Step-by-step explanation:

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Answer 2

Answer:

Let x be the sum of exterior angle and angle B.

75°+ angle B= exterior angle

75+ 1/3x= 2/3 x

75= 1/3 x

x= 225°

angle B= 1/3 x or 75°

exterior angle= 2/3 x or 150°