Question

If p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<13 = ?

Answer 1

`m\angle13=92^o`

Step-by-step explanation:

First, we match the angles

9 = 11

10 = 12

16 = 14

15 = 13

Therefore, if we find angle 15, we find an angle 13.

Angle 15 is supplementary to angle 16; therefore,

`\angle16+\angle15=180^o`

Since

`\angle16=88^o`

Therefore,

`88^o+\angle15=180^o`

subtracting 88 from both sides

`\angle15=180^o-88^o`
`\angle15=92^o`

which is our answer!