Question

Two angle measures in a triangle are 67° and 26°. What is the measure of the third angle?

93°
87°
267°
90°

Answer 1

87 degrees. 67+26=93. 180-93=87

Answer 2

`\boxed{Measure \: of \: third \: angle = 87\degree}`

Explanation:

The sum of angles of a triangle equals the straight angle (180°, π radians, two right angles, or a half-turn).

Let measure of the third angle be 'x'

`= > 67 \degree + 26\degree + x\degree = 180\degree \\ \\ = > 93\degree + x\degree = 180\degree \\ \\ = > x\degree = 180\degree - 93\degree \\ \\ = > x\degree = 87\degree`