A quadrilateral has two angles that measure 210° and 82º. The other two angles are in aratio of 7:10. What are the measures of those two angles?o andSubmit

Question

asked Jun 20, 2023 90.0k views

1 Answer

DeadMonkey · Answer 1 · 2023-06-25T20:13:00+0000

Solution

The interior angles of a quadrilateral measure to 360 degrees

Two of them are known and are 210 and 82. They add to 292 degrees.

The other two angles must sum to (360-292)=68 degrees.

They are in a ratio of 7:10

The sum of these two numbers is 17

$\begin{gathered} 7*4=28^0 \\ 10*4=40^0 \end{gathered}$

The other two angles are 28 and 40 degrees respectively.

The sum of all 4 angles is 360 degrees.

The final answer

The other two angles are 28 and 40 degrees respectively.