Question

May I please receive help?

Answer 1

Answer:

24

Step-by-step explanation:

to find the measure of angle X we must first find y

An exterior angle of a triangle is equal to the sum of the opposite interior angle

angle wyz is an exterior angle and the opposite interior angles are w and x

this means that angle wyz = angle w + angle X

if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4

note that we just created an equation that we can use to solve for y

we now solve for y using the equation we just created

52 = 3y + 4y - 4

combine like terms

52 = 7y - 4

add 4 to both sides

56 = 7y

divide both sides by 7

we're left with y = 8

Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y

angle X = 3y

y = 8

angle X = 3(8)

multiply 3 and 8 to get 24

angle X = 24

and we are done!

Answer 2

Answer:

24°

Step-by-step explanation:

(4y-4)+(180-52)+3y = 180°

4y-4+128+3y = 180

7y+124 = 180

7y = 56

y = 8

SO ∠x = 3y

∠x = 3(8)

∠x = 24