Question

The measures of the angles of a triangle are shown in the figure below. Solve
for x.

Answer 1

`x = 46`

Explanation:

Given

The three angles in the triangle are: x, 34 and 100

Required

Determine the value of x

Angles in a triangle add up to 180.

So, we have:

`x + 34 + 100 = 180`

`x + 134 = 180`

Subtract 134 from both sides

`x + 134 - 134 = 180 - 134`

`x = 180 - 134`

`x = 46`

Hence, the measure of x is 46