Question

to answer the questions on the right: 2 create a triangle angle sum equation to solve for x: (a) 2x + 50 + 2x = 180 (b) solve for x: (c) what is the measure of both ∠a and ∠c?

Explanation:

Step1: Combine like - terms

Combine the $x$ terms in the equation $2x + 50+2x = 180$. We get $4x+50 = 180$.

Step2: Isolate the variable term

Subtract 50 from both sides of the equation $4x+50 = 180$. So, $4x=180 - 50=130$.

Step3: Solve for $x$

Divide both sides of the equation $4x = 130$ by 4. Then $x=\frac{130}{4}=32.5$.

Step4: Find angle measures

Since $\angle A=\angle C = 2x$, substitute $x = 32.5$ into $2x$. We have $2\times32.5 = 65$.

Answer:

(b) $x = 32.5$
(c) The measure of both $\angle A$ and $\angle C$ is $65^{\circ}$