The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?
1 answer:
Answer:
82°
Step-by-step explanation:
The given angles are vertical angles, so have the same measure:
(10x +8) = (12x -10
18 = 2x . . . . . . . . . . add 10-10x
9 = x
10x +8 = 10(9) +8 = 98
So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...
∠2 = 180° -98° = 82°
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