Question

A quadrilateral has two angles that measure 321° and 3°. The other two angles are in a ratio of 7:11. What are the measures of those two angles?° and °Submit

Answer 1

To find:

The measure of other angles.

Solution:

Let the measure of other angles be 7x and 11x.

It is known that the sum of angles of a quadrilateral is 360 degrees. So,

`\begin{gathered} 321+3+7x+11x=360 \\ 18x+324=360 \\ 18x=360-324 \\ 18x=36 \\ x=2 \end{gathered}`

we get x = 2. Then, 7x = 14 and 11x = 22.

Thus, the measure of other two angles are 14 and 22.