The sum of the measures of the angles of any triangle is 180 degrees. In triangle​ ABC, angles A and B have the same​ measure, while the measure of angle C is 30 degrees larger than each of A and B. What are the measures of the three​ angles?

Kailey Vargas

Kailey Vargas

Answered question

2022-09-06

The sum of the measures of the angles of any triangle is 180 degrees. In triangle​ ABC, angles A and B have the same​ measure, while the measure of angle C is 30 degrees larger than each of A and B. What are the measures of the three​ angles?

Answer & Explanation

Nodussimj

Nodussimj

Beginner2022-09-07Added 14 answers

Let measure of angle A=a
measure of angle C =a + 30
Since, sum of the measures of a triangle is 180 degrees, we have
a + a + a + 30 = 180 3 a = 150 a = 50
Measure of angle A=50

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