Question

Find the measure of each numbered angle.

Answer 1

• ∠ 1 = 51°

• ∠ 2 = 16°

Explanation:

• ∠ 1, the 39° angle, and the right angle marked in red are angles of a triangle.

∴ ∠ 1 + 90° + 39° = 180° [Angles in a triangle add up to 180°]

⇒ ∠ 1 = 180° - 90° - 39°

⇒ ∠ 1 = 51°

• The small triangle on the top-left of the image consists of ∠ 2, a right-angle (marked in red) and a 74° angle.

∴ ∠ 2 + 90° + 74° = 180° [Angles in a triangle add up to 180°]

⇒ ∠ 2 = 180° - 90° - 74°

⇒ ∠ 2 = 16°

Answer 2

m∠1 = 51°

m∠2 = 16°

Explanation:

First ,check the attached photo.

=================

In the right triangle ABC :

m∠1 = 90 - 39

= 51°

……………………

In the right triangle ABD :

m∠2 = 90 - 74

= 16°