Question

1. Let's say and write the answers as quickly as possible. a) If x° and 100° are a linear pair, then xº =

b) If y° and 50° are vertically opposite angles, then yº =
c) If a° and 30° are a pair of complementary angles, then aº =
d) If p° and 120° are a pair of supplementary angles, then pº =​

Answer 1

x = 80° , y = 50° , a = 60° , p = 60°

Explanation:

(a)

a linear pair of angles sum to 180° , then

x + 100° = 180° ( subtract 100° from both sides )

x = 80°

(b)

vertically opposite angles are congruent , then

y = 50°

(c)

complementary angles sum to 90° , then

a + 30° = 90° ( subtract 30° from both sides )

a = 60°

(d)

supplementary angles sum to 180° , then

p + 120° = 180° ( subtract 120° from both sides )

p = 60°