Question

Find the measure of the numbered angles | need some help

Answer 1

Here we have the following figure:

There's some facts that we could use to find the measure of each angle:

- The diagonals form a right angle, which measures 90°. Thus, the measure of angle 1 is 90°.

- The sum of all the internal angles of a triangle is always 180. So,

The measure of angle 2 is:

180-38-90 = 52.

We could use the same fact to find the measure of angle 4:

The measure of angle 4 is:

180 - 90 - 53 = 37.

With the angles found, we can draw this new figure:

Therefore, the answer is:

Angle 1 = 90°

Angle 2 = 52°

Angle 3 = 38°

Angle 4 = 37°

Angle 5 = 53°