Question

Please help. Thank you :)

Answer 1

Okay, first let's look at what they give us!

The measure of angle 2 is 3x + 1

Measure of angle 3 is 2x + 4

And they give us that one angle is right which means it is 90°

Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:

3x + 1 + 2x + 4 + 90 = 180

First we will add together liked terms!

3x + 2x = 5x

1 + 4 + 90 = 95

This gets us:

5x + 95 = 180

Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:

5x = 85

Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:

x = 17

Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1


51 + 2 to get us 52!


Answer: 52