Question

Suppose that ABC is isosceles with base CB.Suppose also that m L C= (2x+24)° and m L B = (3x+ 13)°.Find the degree measure of each angle in the triangle.

Answer 1

Since it's an Isosceles triangle,

m∠C = m∠B

2x + 24 = 3x + 13

`\begin{gathered} 24-13=3x-2x \\ \\ \Rightarrow x=11 \end{gathered}`

when x = 11

m∠C = (2(11) + 24) = 46

=> m∠B = 46

Since m∠A + m∠B + m∠C = 180

=> m∠A = 180 - m∠B - m∠C = 180 - 46 - 46 = 88

=> m∠A = 88

=> m∠B = 46

=> m∠C = 46