if angle 2=6x+8 and angle 4=4x+11 what is the value of angle 2?
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Answer:
17
Step-by-step explanation:
Angle 2 and angle 4 are alternate exterior angles so they congruent angles which means they have same angle measurement.
To find the measure of angle 2 we first need to find the value of x.
And to do that we can write the following equation based on the information we have in hand:
6x + 8 = 4x + 11 transfer like terms to the same side of the equation
6x - 4x = 11 - 8 add/subtract like terms
2x = 3 divide both sides by 2
x = 1.5 now to find the measure of angle 2 replace x with 1.5
6×(1.5)+8 = 17