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jolli1 [7]
3 years ago
9

Find the value of x given the diagram below

Mathematics
1 answer:
Pie3 years ago
3 0

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°.

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