For ∠1: Because all angles inside a triangle equal 180°, set ∠2, 68, and ∠1 equal to 180, then solve for ∠1.
∠1 = 63°
For ∠3: Subtract 93 from 180 to get ∠3
∠3 = 87°
For ∠4: Because all angles inside a triangle equal 180°, set ∠3, 49, and ∠4 equal to 180, then solve for ∠4.
<h2>∠4 = 44°
∠2 = 49°
Given:
Short sides of a rectangle = 2 inches.
Area of the rectangle = 22 square inches.
The long sides of the same rectangle are three less than an unknown number of inches.
To find:
The unknown number.
Solution:
Let x be the unknown number. Then the longer side of the rectangle is (x-3) inches.
We know that the area of a rectangle is
The area of the rectangle is 22 square inches.
Divide both sides by 2.
Add 3 on both sides.
Therefore, the value of the unknown number is 14.