Match the reasons to the statements in the proof. given: m 1 + m 5 = 180° m 1 + m 4 = 180° prove: | |
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180°

2. m∠1 + m∠5 = m∠1 + m∠4

3. m∠5 = m∠4

4. ray yz is parallel to ray uv

given
substitution
subtraction property of equality
if alternate interior angles equal, then line are ||

Answer and Step-by-step explanation:

Since we have given that

1.m∠1 + m∠5 = 180° and m∠1 + m∠4=180°- Given

2.m∠1 + m∠5 = m∠1 + m∠4 - Substitution

3.m∠5 = m∠4 -

Subtraction property of equality

4.Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.