Question

Next → Post Test: The Pythagorean Theorem and Volume1Select the correct answer from each drop-down menu.50⁰Z45⁰529

Answer 1

step 1

Find out the measure of angle z

we have that

52+z=180 degrees ----> by forming a linear pair

z=180-52

z=128 degrees

step 2

Find out the measure of the third interior angle of the triangle on the left

we have that

45+50+third angle=180 degrees

third angle=180-95

third angle=85 degrees

step 3

Find out the measure of angle x

we have that

third angle+x=180 degrees --> by forming a linear pair

85+x=180

x=180-85

x=95 degrees

step 4

Find out the measure of angle y

we have that

x+52=y -----> by exterior angle theorem

95+52=y

y=147 degrees