If L||M And the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is?

Solution:

We know about the transversal and related angles. The line I is the transversal.

Given that l and m are two parallel lines and angles 7 and 2 are interior angles.

Angle 7 = twice angle 2

Let the measure of angle 2 be x

Then measure of angle 7 = 2x

Since in parallel lines alternate angles are supplementary we have a sum of angle 7 and angle 2 form 180 degrees

i.e. x + 2x = 180 

⇒ 3x = 180

⇒ x = 60

Hence the answer is angle 2 is 60 degrees and angle 7 is 120 degrees.

If L||M And the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is?

Summary:

If L||M And the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is 120.