Question

If p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<8= ?

Answer 1

The angle 7 is given as, m<7 = 131°.

The sum of angle 7 and angle 8 is 180°.

`m\angle7+m\angle8=180^(\circ)`

Substitute the m<7 = 131°.

`171^(\circ)+m\angle8=180^(\circ)`
`m\angle8=180^(\circ)-171^(\circ)`
`m\angle8=49^(\circ)`

Thus the value of angle 8 is,

`m\angle8=49^(\circ)`