Question

If μ (∠2) =98°, find the following angle measures.

Answer 1

μ (∠1) = 82°

μ (∠2) = 98°

μ (∠3) = 82°

μ (∠4) = 98°

Explanation:

As the vertically opposite angles are equal to each other,

μ (∠2) = μ (∠4)

98° = 98°

As the angles in a straight line are added up to 180°,

μ (∠2) + μ (∠3) = 180

98 + μ (∠3) = 180

μ (∠3) = 180 - 98

μ (∠3) = 82°

As the vertically opposite angles are equal to each other,

μ (∠3) = μ (∠1)

82° = 82°