4 years ago

PLEASE HELP ASAP WILL MARK BEAINLEST!!!

Mathematics

1 answer:

mafiozo [28]4 years ago

4 0

Answer:

a, b, c are all 144°

Step-by-step explanation:

Parallel lines that are crossed by a transversal (diagonal) will have angle properties that are very similar and consistent. Given that a straight line will form a total angle of 180°, the measure of ∠a would be 180 - 36 = 144°. Because ∠a and ∠b are corresponding angles so they are congruent (same measure) so ∠b = 144°. Since ∠b = 144° and is the opposite, vertical angle to ∠c, they must also be congruent as well. ∠a and ∠c are also alternate exterior angles that are congruent, so ∠c = 144° as well.

You might be interested in

If the sum of two consecutive odd number is 12 find them

Fiesta28 [93]

Answer:

5 and 7

Step-by-step explanation:

<u>Fast and loose</u>: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7

<u>Let's use algebra</u>: let's call 2n+1 the first and 2n+3 the second.

Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7

5 0

3 years ago

The volume of a tool shed is 1080 ft3. The width of the shed is 10 ft. The length of the shed is 12 ft. What is the height of th