Question

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Answer 1

Angle 8 = 110

Angle 9 = 24

Angle 10 = 46

Explanation:

Sum of interior angle of a triangle is 180

Angle 9 + 110 + 46 = 180

Angle 9 + 156 = 180

Angle 9 = 180 - 156

Angle 9 = 24

The two lines are parallel which are represented by the arrows.

If two lines are parallel, then alternate interior angles are equal.

Here,

Angle 8 and 110 are alternate interior angles.

So,

Angle 8 = 110

Angles 8, 9 & 10 form a straight line.

So,

Sum of Angles 8, 9 & 10 is supplementary (i.e) 180

Angle 8 + Angle 9 + Angle 10 = 180

110 + 24 + Angle 10 = 180

134 + Angle 10 = 180

Angle 10 = 180 - 134

Angle 10 = 46

You can see that,

Angle 10 and 46 are also alternate interior angles.

So,

Angle 10 = 46

Answer 2

m<8 = 110°

m<9 = 24°

m<10 = 46°

Explanation:

m<9 = 180 - 110 - 46 - 24

Correct

m<8:

<8 and 110° angle are alternate interior angles of parallel lines cut by a transversal.

m<8 = 110°

<10 and 46° angle are alternate interior angles of parallel lines cut by a transversal.

m<10 = 46°