Question

Find the value of x given the diagram below

Answer 1

The value of x is 44°.

Step-by-step 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°.