Posted by **Leilani** on Thursday, April 21, 2011 at 4:59pm.

Two angles of a quadrilateral measure 210° and 100°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

I know the four angles add to 360 deg. So the two unknowns are 50 deg together. 20 and 30 deg angles would give a ratio of 2:3, but what is the equation I would use to figure this using the ratio and the 50 deg?

- geometry -
**Henry**, Friday, April 22, 2011 at 10:25pm
Larger angle = X Deg.

Smaller angle = 2X/3 Deg.

X + 2X/3 = 360 - 310 = 50,

Multiply both sides by 3:

3X + 2x = 150,

5X = 150,

X = 30 deg.

2X/3 = 2/3(30) = 20 Deg.

- geometry -
**Anonymous**, Tuesday, March 10, 2015 at 4:11pm
poop

## Answer this Question

## Related Questions

- math - Two angles of a quadrilateral measure 130° and 20°. The other two angles ...
- math - a quadrilateral has two angles that measure 88 and 62. the other two ...
- math - the sum of two angles of a quadrilateral is 150 and the other two angles ...
- Math - The sum of the measures of four of the angles of a heptagon is 520...
- Math - One angle of a triangle measures 100. the other two angles are in a ratio...
- geometry - If Quadrilateral QRST is a parallelogram, which is not necessarily ...
- geometry - Angles 1 and 7 are alternate exterior angles of a transversal cutting...
- geometry - "Two angles are complemantary.one angle measures 14 degrees lesa ...
- Math - Four of the angles of a hexagon measure 53°, 126°, 89°, and 117°. What is...
- Geometry. Please help. - 1) Two angles are complementary. The measure of one ...

More Related Questions