Answer:
An equation is 92 + 2x = 180.
The congruent angles each measure 44°.
Step-by-step explanation:
1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.
2. To find the measure of each congruent angle, x, we have to solve the equation above.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 92 from both sides.
- [tex]2x + 92 - 92 = 180 - 92[/tex]
- [tex]2x = 88[/tex]
Step 3: Divide both sides by 2.
- [tex]\frac{2x}{2} = \frac{88}{2}[/tex]
- [tex]x = 44[/tex]
x = 44 means that the congruent angles each measure 44°.
