Question

Find the measures of an interior angle 48° + X + (X -44°)

Answer 1

• X = 88°
• (X-44°) = 44°

Explanation:

We assume the given sum is the sum of interior angles of a triangle, so is equal to 180°.

48° +X +(X -44°) = 180°

2X +4° = 180° . . . . . . . . . . collect terms

X +2° = 90° . . . . . . . . . . . .divide by 2

X = 88° . . . . . . . . . . . . . . . subtract 2°

Then the other interior angle is ...

(X -44°) = 88° -44° = 44°

The unknown interior angles are ...

• X = 88°
• X-44° = 44°