SOLUTION: Find the value of x. A triangle. One exterior angle is 70 and the nonadjacent interior angles are X and 2X + 10.

Question 389289: Find the value of x.
A triangle. One exterior angle is 70 and the nonadjacent interior angles are X and 2X + 10.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A triangle. One exterior angle is 70 and the nonadjacent interior angles are X and 2X + 10.
---
The sum of the exterior angles is 360 degrees.
The exterior corresponding to "x" is 180-x
The exterior correspondiing to "2x+10" = 180-(2x+10) = -2x+170
---
Solve:
(180-x)+(-2x+170) + 70 = 360
-3x + 420 = 360
-3x = -60
x = 20 degrees
=================
Cheers,
Stan H.
============
===========================
RELATED QUESTIONS
if a triangle has an exterior angle of (3x + 4) degrees and nonadjacent interior angles... (answered by Boreal)

The measure of an exterior angle of a regular polygon is 2x, and the measure of an... (answered by greenestamps)

one of the exterior angles of a triangle is 120 and the interior opposite angles are in... (answered by ankor@dixie-net.com)

If the sum of the measures of two exterior angles of a triangle is 230, find the measures (answered by mangopeeler07)

1:THE MEASURE OF AN EXTERIOR ANGLE OF A REGULAR POLYGON IS 2X AND THE MEASURE OF AN... (answered by Alan3354)

In the following triangle, the degree measures of the three interior angles and two of... (answered by rothauserc)

Given a regular polygon and exterior angle is x find the interior angle and # of... (answered by richard1234)

How many interior angles does a undecagon have? A. 7 B. 9 C. 11 D. 110 How... (answered by longjonsilver)

A triangle has interior angles equal to 55 degrees, 70 degrees, and x degrees. What is... (answered by Alan3354)