Question

In the diagram below of AGJK, H is a point onGJ, HJ = JK, m2 = 28, and mZGJK = 76.What is mZGKH?287H

Answer 1

First, since the triangle HKJ is isosceles, then it is true that

Therefore, in the exercise KHJ it is equal to the angle HKJ. We know that the sum of the internal angles of a triangle is 180, so we have

`\begin{gathered} 180-70=110 \\ \end{gathered}`

We divide by 2 to find the measure of the two equal sides of the triangle HKJ

`(110)/(2)=55`

Then, the angle HKJ measure 55. So,

`\begin{gathered} \text{GKH}=180-(28+55+70) \\ \text{GKH}=180-153 \\ \text{GKH}=27 \end{gathered}`