Question

Can you solve these two problems please

Answer 1

Explanation:

Hi Debbie, the tricky part about these types of problem is recognizing that you know the total angle. 180° for the ABCD question and the angles are equal to each other for the TUWXY question , this tip lets you find X for each.

just add the two angle and set equal to 180 in each problem. I'll do the problems below, but , now that you know how, maybe you could try them and check your answer against mine.

The ABCD question

4x+7 + 2x -1 = 180

6x +6 = 180

6x = 174

x = 29

4(29)+7 = 123°

2(29)-1 = 57°

The TUWXY question

6x+13 = 10x-7

20 = 4x

5=x

then

6(5)+13 = 43°

and the next one should be the same

10(5) -7 =43°

check. so there are your answers. :) get it?

Answer 2

First question:
1. 4x + 7 + 2x - 1 = 180
They equal 180 because they add up to a linear pair (equals 180) and they’re a straight line (equals 180).
2. 6x + 6 = 180
Combine like terms
3. 6x = 174
Subtract 6 from both sides so x is on one side and the numbers on the other.
4. x = 29
Divide both sides by 6
ANSWER: x = 29

Second question
1. 6x + 13 = 10x - 7
They equal each other because they’re vertical angles, and vertical angles are congruent.
2. 20 = 4x
Move the x and numbers to opposite sides
3. 5 = x
Divide both sides by 4 to get x
ANSWER: x = 5