Question

3. In the diagram below, ray AB bisects MAT . If the measure of ZMAT equals 64º and themeasure of ZBAT is given by the expression 2r-10, then which of the following is thevalue of r?M14B15OOOO2137А

Answer 1

Given:

Ray AB bisects the angle MAT

And m ∠MAT = 64

m ∠BAT = 2x - 10

So,

m ∠ BAT = half of m∠ MAT

so,

$\begin{gathered} 2x-10=0.5\cdot64 \\ 2x-10=32 \\ 2x=32+10 \\ 2x=42 \\ \\ x=\frac{42}{2}=21 \end{gathered}$

So, the value of x = 21