Question

what is the measure of angle a

Answer 1

Step-by-step explanation:

$here \: angle \: \: \alpha \: and \: 117 \: in \: straight \: line \: = 180$

$\alpha + 117 = 180$

$\alpha = 180 - 117$

$\alpha = 63$

Answer 2

Answer:

a = 63 & b= 36

Step-by-step explanation:

$a + 117 = 180 \: \: \: \: \: \: \: \: (linear \: pair) \\ a = 180 - 117 \\ a = 63 \\ 81 + a + b = 180 \: \: \: \: \: \: \: (sum \: of \: measure \:of \: all \: angles \: of \: triangle) \\ 81 + 63 + b = 180 \\ 144 + b = 180 \\ b = 180 - 144 \\ b = 36$