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°