Custom drapes are being fitted for a large circular window. it is difficult to get these measurements, but the window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame. if the brace is extended upward, it would go through the center of the shelf and the circle. what is the diameter of the window?

10 ft.

Step-by-step explanation:

Given: Custom drapes are being fitted for a large circular window.

The window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame.

Since the brace is extended upward, it would go through the center of the shelf and the circle.

Then the diameter of the circle= the measurement og f horizontal shelf + measurement of brace=8+2=10 ft

Hence, the diameter of the window =10 ft.

provide more details to solve it

step-by-step explanation:

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.