Question

Find the measure of the numbered angle.

Answer 1

1- 50

2- 130

3- 50

4- 130

5- 40

6- 140

7- 90

8- 140

Explanation:

Answer 2

m∠1 = 50°

Explanation:

From inspection of the given diagram we can see that angle 1, angle 40° and a right angle are the interior angles of a right triangle.

As the interior angles of a triangle sum to 180°:

⇒ m∠1 + 40° + 90° = 180°

⇒ m∠1 + 130° = 180°

⇒ m∠1 + 130° - 130° = 180° - 130°

⇒ m∠1 = 50°

Therefore, the measure of angle 1 is 50°.