Question

Suppose that BCD is isosceles with base BC. Suppose also that m B=(2x+47) and m D= (3x+51). Find the degree measure of each angle in the triangle

Answer 1

57, 57, 66

Explanation:

This is isosceles, so angle B is the same measure as angle C, and all 3 angles add to 180.

2x+47 + 2x+47 + 3x+51 = 180

7x + 145 = 180

7x = 35

x = 5

Angles B and C are 2x + 47, so 2(5) + 47 = 57

Angle D is 3x+51, so 3(5) + 51 = 66