Line m is parallel to line n. the measure of angle 4 is (5a + 10)°. the measure of angle 6 is (3a + 10)°. what is the measure of angle 4?
a. 110°
b. 70°
c. 20°
d. 60°

A. 110

Step-by-step explanation:

Angles 4 and 6 are supplementary so if we add them together they will equal 180.

(5a + 10)° + (3a + 10)° = 180°

Simplify a bit to get 8a + 20 = 180

and 8a = 160.

a = 20.  Now sub that value of a into the expression for angle 4:

5a + 10 --> 5(20) + 10 = 110°

Option A.

Step-by-step explanation:

Given information: m║n, and  .

If a transversal line intersect two parallel lines, then the interior angles on the same sides are supplementary angles. It means their sum is 180.

From the given figure it is clear that angle 4 angle 6 are interior angles on the same side. So, angle 4 and 6 are supplementary angles.

On combining like terms we get

Subtract 20 from both sides.

Divide both sides by 8.

The value of a is 20.

Therefore, the correct option is A.

what is the original number? you forgot to add it.

these sign is used to tell weather the number is greater or less than the number   <   or >     but this sign means its equal =    

hope this you and

step-by-step explanation: