Question

What us the measure of X in the triangle shiwn below

Answer 1

The figure appears to be a triangle with only two measures of its interior angles are given.

∠1 = x = uknown

∠2 = 43°

∠3 = 84°

For us to be able to determine the measure of x, let's recall that the sum of the interior angle of a triangle is 180°.

With this property of the triangle, we can find x. We get,

$\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}$

$\angle1\text{ + }43^{\circ}\text{ + }84^{\circ}=180^{\circ}$$\angle1\text{ + }127^{\circ}=180^{\circ}$$\angle1\text{ }=180^{\circ}\text{ - }127^{\circ}$$\angle1\text{ }=x=53^{\circ}$

Therefore, the measure of x is 53°