Question

A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of those two angles?

Answer 1

• Other two angles of quadrilateral measures 18° and 39°

Explanation:

Given that a quadrilateral has two angles that measure 222° and 81°.

Let other two angles of quadrilateral be 6x and 13x. We know that sum of all the angles of quadrilateral is 360°.

➝ 222 + 81 + 6x + 13x = 360°

➝ 303 + 19x = 360°

➝ 19x = 360° - 303

➝ 19x = 57

➝ x = 57/19

➝ x = 3

Hence,

• 6x = 6(3) = 18°
• 13x = 13(3) = 39°

∴ Other two angles of quadrilateral measures 18° and 39°

Answer 2

Measurement of other two angles are 39° and 19°

Explanation:

Given :-

• Quadrilateral has two angles of measurement 222° and 81° and the other two angles are in ratio of 6:13

To find:-

• The measurement of other two angles

Solution:-

Let the value of other two angles be 6x and 13x

We know , the sum of angle inside a quadrilateral is 360°

222° + 81° + 13x + 6x = 360°

19x = 360° - 303°

x = 3

So , the value of other two angles are

13 × 3 = 39°

6 × 3 = 18°