Urgent! Please answer ALL of the following questions to receive brainliest answer! Use the picture attached to solve! Thank you!

1. Find the sum of ∠KMA and ∠YMA.

2. Solve for the value of x.

3. Find the measure of ∠KMP.

4. Find the measure of the complement of ∠KMA.


Urgent! Please answer ALL of the following questions to receive brainliest answer! Use the picture attached to solve! Thank you! 1. Find the sum of KMA and YMA. class=

Verified Answer :

  1. The two angles add up to 180°.

    2. You can create an equation because of this:
    2x - 3 + 7x + 21 = 180
    9x + 18 = 180
    - 18
    9x = 162
    ÷ 9
    x = 18

    3. <KMP is equal to <YMA because they are vertically opposite, so you can substitute in the value of x to find it.
    (7 × 18) + 21
    126 + 21 = 147
    answer = 147°

    4. The complement of an angle is the value that makes it add up to 90°, so first we need to find <KMA:
    (2 × 18) - 3
    36 - 3 = 33°
    90 - 33 = 57
    answer = 57°

    I hope this helps!