linear pair theorem
ZADCZBDC
given
2m BDC=180°
definition of supplementary
mzADC-mzBDC
definition of
congruence
m *ADC +
m BDC=180°
ADC is complementary
to BDC
substitution property of
equality
m BDC=180°
ADC is supplementary
to BDC
⠀⠀
m BDC=90°
division property of
equality

From the attached line, we see that angle 1 and angle 3 form a straight line. Now, since we know that angles on a straight line sum up to 180°, then it means that they are supplementary.

We are given;

1) ∠1 and ∠2 are supplementary

2) ∠1 = 36°

Thus from definition of complementary angles, we can say that;

36° + ∠2 = 90°

Subtraction property of equality when applied gives;

∠2 = 54°

We are told that ∠2 and ∠3 are linear pairs and as such;

∠2 + ∠3 = 180° from linear pairs theorem.

By substitution property of equality we have;

54° + ∠3 = 180°

Solving gives ∠3 = 126°

Read more about Supplementary Angles at; https://brainly.com/question/2046046

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linear pair theorem ZADCZBDC given 2m BDC=180° definition of supplementary mzADC-mzBDC definition of congruence m *ADC + m BDC=180° ADC is complementary to BDC substitution property of equality m BDC=180° ADC is supplementary to BDC ⠀⠀ m BDC=90° division property of equality

Respuesta :

How to prove supplementary angles?

Otras preguntas

linear pair theorem
ZADCZBDC
given
2m BDC=180°
definition of supplementary
mzADC-mzBDC
definition of
congruence
m *ADC +
m BDC=180°
ADC is complementary
to BDC
substitution property of
equality
m BDC=180°
ADC is supplementary
to BDC
⠀⠀
m BDC=90°
division property of
equality