# geometry

posted by .

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 -

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 -

the answer can be 144 deg and 216 deg

## Similar Questions

1. ### geometry

If Quadrilateral QRST is a parallelogram, which is not necessarily true?
2. ### Math

One angle of a triangle measures 100. the other two angles are in a ratio of 3:5. What are the measures of those two angles?
3. ### math

a quadrilateral has two angles that measure 88 and 62. the other two angles are in a ratio of 16:19. what are the measures of those two angles?
4. ### math

the sum of two angles of a quadrilateral is 150 and the other two angles are in ratio 2:3. Find the measure of each angles?
5. ### Math

The sum of the measures of four of the angles of a heptagon is 520. Two of the remaining three angles are congruent. The other remaining angle is 3/2 the measure of one of the two congruent angles. Find the measures of the …
6. ### math

Two angles of a quadrilateral measure 130° and 20°. The other two angles are in a ratio of 5:16. What are the measures of those two angles?