Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?

vertical angles, x=5  The angles each measure 35 degrees

Step-by-step explanation:

These are vertical angles, so they are equal

3x+20 = 10x-15

Subtract 3x from each side

3x+20-3x = 10x-13-3x

20 = 7x-15

Add 15 to each side

20+15 = 3x-15+15

35=7x

Divide by 7

35/7 = 7x/7

5 =x

The angles are equal so they each measure

3x+20 = 3(5)+20 = 15+20 = 35

The each measure 35

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it