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Let mAngleA = 40°. If AngleB is a complement of AngleA, and AngleC is a supplement of AngleB, find these measures. mAngleB = ° mAngleC = °

Answer :

osaeabigailadwoa

Answer:

B is 50° and C is 130°

Step-by-step explanation:

complementary angle

x+x=90°

40°+x=90°

x=90°-40°

x=50°

supplementary angles

x+x=180

50+x=180

x=180-50

x=30°

abidemiokin

The measure of m<A and m<C are 50 and 140 degrees respectively

Complementary and supplementary angles

The sum of complementary angles is 90 degrees.

Hence if AngleB is a complement of AngleA then:

m<A + m<B = 90
40 + m<B = 90
m<B = 50 degrees

The sum of supplementary angles is 180 degrees.

Hence if AngleB is a complement of Angle Cthen:

m<A + m<C = 180
40 + m<C = 180
m<C = 140 degrees

Hence the measure of m<A and m<C are 50 and 140 degrees respectively

Learn more on angles here: https://brainly.com/question/25770607

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