Question

Can somebody please help me

Answer 1

Answer:

Part 9)

m∠1=88°

m∠2=33°

m∠3=88°

m∠4=59°

Part 10)

m∠1=47°

m∠2=43°

m∠3=90°

m∠4=43°

Step-by-step explanation:

Part 9)

Find the measure of m∠1

we know that

33°+m∠1+59°=180° ----> by a straight angle

so

m∠1+92°=180°

m∠1=180°-92°

m∠1=88°

Find the measure of m∠2

we know that

m∠2=33° ----> by vertical angles

Find the measure of m∠3

we know that

m∠2=m∠1 ----> by vertical angles

we have

m∠1=88°

so

m∠3=88°

Find the measure of m∠4

we know that

m∠4=59° ----> by vertical angles

Part 10)

Find the measure of m∠1

we know that

m∠1=47° ----> by vertical angles

Find the measure of m∠2

we know that

m∠1+m∠2=90° ----> by complementary angles

we have

m∠1=47°

substitute

47°+m∠2=90°

m∠2=90°-47°

m∠2=43°

Find the measure of m∠3

we know that

m∠3=90° ----> by vertical angles

Find the measure of m∠4

we know that

m∠4=m∠2 ----> by vertical angles

we have

m∠2=43°

so

m∠4=43°