ZA and ZB are vertical angles with mZA= x and mZB = 5x – 80. What is mA? Enter your answer in the box.​

20

Step-by-step explanation:

vertical angles are equal. meas. of angle a = meas. of angle b

x=5x-80

x+80=5x

80=4x

20=x

A = 80

Step-by-step explanation:

If they are vertical angles, they are equal.

5x - 80 = x                      Add 80 to both sides

5x - 80 + 80 = x + 80

5x = x + 80                     Subtract x from both sides

5x - x = x - x + 80

4x = 80                           Divide by 4

4x/4 = 80/4

x = 20

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.