Question

If p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<6= ?

Answer 1

The angle 7 is given as, m<7 = 131°.

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

Therefore,

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

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

The angle 8 is corresponding to angle 6 .

Since p is parallel to q and any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are correspnding angles.

Hence , the angle m<6=m<8.

Thus, the value of m<6 is,

`m\angle6=49^(\circ)`