149k views
5 votes
I have been stuck on this for two hours.

I have been stuck on this for two hours.-example-1

2 Answers

4 votes

equation = 180°

x = 11°

measure of the C: 45°

User BJack
by
8.9k points
1 vote

Answer:

equation: 90°+(x+34°)+(x+34°) = 180°

x= 11°

measure of the C: 45°

Explanation:

I GOTCHU

First of all, we know that all of the angles in a triangle are equal to 180°. As you can see in the triangle, one of the angles has that little right angle symbol (the tiny square), meaning it's equal to 90°. Therefore, we can make the equation:

90°+(x+34°)+(x+34°) = 180°

Next, you can use algebra to solve that equation, to find x.

90°+(x+34°)+(x+34°) = 180°

90°+2x+68°= 180°

158°+2x=180°

2x=180°-158°

2x=22°

x=11°

Now that we know the value of x, which is 11°, we can plug that into the equation of Angle C. The equation of Angle C is x+34°. So, it becomes

11°+34°

= 45°

User Impredicative
by
8.1k points