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Aleksandr-060686 [28]
3 years ago
9

A side of the triangle below has been extended to form an exterior angle of 164". Find

Mathematics
1 answer:
Arada [10]3 years ago
3 0

Given:

Measure of exterior angle = 164°

The measure of opposite interior angles are x° and 53°.

To find:

The value of x.

Solution:

According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.

Using Exterior Angle Theorem, we get

x^\circ+53^\circ=164^\circ

x^\circ=164^\circ-53^\circ

x^\circ=111^\circ

x=111

Therefore, the value of x is 111.

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Step-by-step explanation:

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