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 -
**simran**, Sunday, February 21, 2016 at 7:12am
the answer can be 144 deg and 216 deg

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