36.7k views
5 votes
Can someone please help me with these two math problems about angles?

Can someone please help me with these two math problems about angles?-example-1
Can someone please help me with these two math problems about angles?-example-1
Can someone please help me with these two math problems about angles?-example-2

2 Answers

4 votes
The math angle for #1 is 2x and #2 is 3 x
User Roanna
by
7.9k points
4 votes

Answer:

First question: x = 19

Second question: p = 75

Explanation:

First, let's solve for x. We already know that one angle measures 105°. According to the Vertical Angles Theorem, two angles that are vertical from each other are congruent. So, the angle vertical from the one we know measures 105° is equal to it. Therefore, we can set up this equation:

5x - 10 = 105

First, add 10 to both sides.

5x = 115

Now, divide both sides by 5 to get x.

x = 23

For the next problem, let's look at 5x - 10 and p. These angles form a linear pair, so their sum is going to be 180°. The instructions say we have to use x, so let's set up this equation to represent it:

5x - 10 + p = 180

Let's go ahead and plug our x-value in.

5(23) - 10 + p = 180

Simplify.

105 + p = 180

Now subtract 105 from both sides to get p.

p = 75

User Ilonpilaaja
by
8.4k 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