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vagabundo [1.1K]
3 years ago
9

Find area and perimeter​

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

Answer:

Perimeter

P = P1+P2

P1 = 4a           P2=2(a+b)

P1=4*5           P2=2(3+5)

P1=20            P2=2*8

                     P2=16

P = 20+16

P=36

Area

A=A1+A2

A1=a^{2}                 A2=a*b

A1=5^{2}                 A2=3*5

A1=25                A2=15

A=25+15

A=40

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Answer:

The correct options are;

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3. m∠2 = m∠3

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Step-by-step explanation:

The two column proof is presented as follows;

Statement           {}                                  Reason

1. ∠1 and ∠2 are supplementary    {}     Given

 {} ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        {}                    Definition of supplementary angles

{}   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      {}          Transitive Property

4. m∠2 = m∠3       {}                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       {}                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

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Step-by-step explanation:

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