In ∆ ABC, the measure of angle B is twice the measure of angle A. The measure of angle C is 40 more than the measure of angle A. Find the measure of each angle.
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Answer:
A = 35
B = 70
C = 75
Step-by-step explanation:
Let A be the measure of angle A
Let 2A be the measure of angle B
Let A + 40 be the measure of angle C
Since we know that the sum of all interior angles if a triangle is 180, we can have the equation:
A + 2A + (A + 40) = 180
4A + 40 = 180
4A = 180 - 40
4A = 140
A = 35
B = 2A = 2(35) = 70
C = A + 40 = 35 + 40 = 75
A + B + C = 180
35 + 70 + 75 = 180
180 = 180 TRUE