Question

Find the value of x given the diagram below

I need help for this math test that I’m doing from home (because of quarantine)

Answer 1

The value of x is 44°.

Explanation:

Step 1:

The sum of the angles in a triangle is equal to 180°.

The sum of the angles along a straight line is 180°.

The two given angles of the triangle are 14° and 30°.

Assume the third angle is a.

The sum of 14°, 30° and a is 180°.

`14+30+a=180.`

`a = 180-44 = 136.`

So the third angle of the triangle is 136°.

Step 2:

The sum of the angles along a straight line is 180°.

The sum of the angle of the triangle, 136° and x is 180°.

`136+x=180.`

`x = 180- 136 = 44.`

So x measures 44°.