Two supplementary angles have the following angle measures: m∠TUV=(2x−25)°

Question

and m∠VUW=110°
. What is an equation to solve for x
? The equation should be in simplest terms.(1 point)
2x°+
°=

°

Answer 1

To find the equation that represents the situation described, we start with the fact that supplementary angles add up to ${180}^{\circ }$.

Given:

• $m\mathrm{\angle }TUV=(2x-25{)}^{\circ }$
• $m\mathrm{\angle }VUW={110}^{\circ }$

Since they are supplementary, we can set up the following equation:

$$m\mathrm{\angle }TUV+m\mathrm{\angle }VUW={180}^{\circ }$$

Substituting the expressions we have:

$$(2x-25)+110=180$$

Now simplify this equation:

1. Combine like terms: $$2x-25+110=180$$ $$2x+85=180$$

Thus, rearranging gives us:

$$2x+85=180$$

So the equation you can use to solve for $x$ is:

$$2x+85=180$$

This is in simplest terms, as required.