Question

1. identify the angles as complementary or supplementary and then find the value of x
a.) supplementary, 65 degrees
b.) complementary, 155 degrees
c.) complementary, 65 degrees
d.) supplementary, 155 degrees

2. which equation can be used to find the value of x in this figure
a.) 90 + x =106
b.) 106 - x =74
c.) 106 + x = 180
d.) none of these

Answer 1

Answer:

Part 1) option C. complementary, $65$ degrees

Part 2) option C. $106\°+x\°=180\°$

Step-by-step explanation:

Part 1)

we know that

If two angles are complementary

then

their sum is equal to $90\°$

In this problem

$25\°+x\°=90\°$ ------> by complementary angles

so

Solve for x

$x\°=90\°-25\°=65\°$

Part 2)

we know that

$106\°+x\°=180\°$ ------> by supplementary angles

solve for x

$x\°=180\°-106\°=74\°$

Answer 2

Answer:

1. c) complimentary, 65

2. c) 106 + x = 180

Hope this helps!