Question

PLEASE HELPPPPPLLLLPPP

In the given diagram, 4 = 45°, 5= 135°, and 10 11.
Part A: Solve for the values of the remaining angles. Show all of your work.
Part B: Use complete sentences to describe the angle relationship between the following angle pairs:
<4 and <1
<7 and <5
<9 and <10.

PLEASE HELP

Answer 1

Explanation:

Part A:

To find the value of the remaining angles, we can use the fact that the sum of the angles in a triangle is 180°.

First, let's find the value of <1. We have:

<4 + <1 + <2 = 180°

4 + <1 + (180° - 5 - 4) = 180°

4 + <1 + 171° = 180°

<1 = 5°

Next, let's find the value of <7. We have:

<7 + <5 + <6 = 180°

<7 + 135° + (180° - 10 - 5) = 180°

<7 + 135° + 165° = 180°

<7 = 0°

Finally, let's find the value of <9. We have:

<9 + <10 + <11 = 180°

<9 + 11° + (180° - 10 - 11) = 180°

<9 + 11° + 159° = 180°

<9 = 0°

Part B:

The angle <4 is supplementary to angle <1, meaning they add up to 180°.

The angle <7 is congruent to angle <5, meaning they have the same measure.

The angle <9 is congruent to angle <10, meaning they have the same measure.