10.0k views
5 votes
Use the figure to find the measures of the numbered angles. 95 23 24 = Explain your reasoning.

Use the figure to find the measures of the numbered angles. 95 23 24 = Explain your-example-1
User Baobobs
by
8.8k points

1 Answer

5 votes

The given angle and angle 3 are corresponding angles, that is, angles that are on the same corner at each intersection. Graphically,

Corresponding angles are congruent, so


\angle3=95\text{\degree}

On the other hand, angle 3 and angle 4 are supplementary angles, that is, add up to 180°. Graphically,


A+B=180\text{\degree}

So, you have


\begin{gathered} \angle3+\angle4=180\text{\degree} \\ 95\text{\degree}+\angle4=180\text{\degree} \\ \text{ Subtract 95\degree from both sides of the equation} \\ 95\text{\degree}+\angle4-95\text{\degree}=180\text{\degree}-95\text{\degree} \\ \angle4=85\text{\degree} \end{gathered}

Therefore, the measures of the numbered angles are


\begin{gathered} \angle3=95\text{\degree} \\ \angle4=85\text{\degree} \end{gathered}

Use the figure to find the measures of the numbered angles. 95 23 24 = Explain your-example-1
Use the figure to find the measures of the numbered angles. 95 23 24 = Explain your-example-2
User ProEvilz
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories