If the measure of angle 2 is (5 x + 14) degrees and angle 3 is (7 x minus 14) degrees, what is the measure of angle 1 in degrees? 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. 88 degrees 89 degrees 90 degrees 91 degrees

m∠1 = 91°

Step-by-step explanation:

Since ∠2 and ∠3 are Supplementary Angles, to find x:

5x + 14 + 7x - 14 = 180

12x = 180

x = 15

Now we plug in x as 15 in to find m∠2:

m∠2 = 5(15) + 14

m∠2 = 75 + 14

m∠2 = 89

Since ∠1 and ∠2 are also supplementary, to find m∠1, we simply subtract 180°:

m∠1 = 180 - m∠2

m∠1 = 180 - 89

m∠1 = 91°