A triangle has one interior angle that has a measure 45°, another interior angle that has measure x°, and an exterior angle that has measure 85°, as shown in the diagram.
What is the value of x?
The adjacent angle to 85° is equal to 95°, since angles on a straight line add up to 180°.
Therefore, the interior angles of the triangle would be:
45°, 95°, and x°
45 + 95 + x = 180 {angles of a triangle add up to 180}
140 + x = 180 {combined like terms}
x = 40° {subtracted 140 from each side}
- Algebra House
Therefore, the interior angles of the triangle would be:
45°, 95°, and x°
45 + 95 + x = 180 {angles of a triangle add up to 180}
140 + x = 180 {combined like terms}
x = 40° {subtracted 140 from each side}
- Algebra House
