2 years ago

The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?

Mathematics

1 answer:

Crank2 years ago

3 0

2x + 100 = 5x + 55
3x = 45
x = 15

2(15) + 100 = 130

180-130 = 50

so angle 2 is 50 degrees

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${Hypotenuse}^{2} = {(5 \sqrt{2} )}^{2} \times {(5 \sqrt{2} )}^{2} \\ \\ {Hypotenuse}^{2} = (25 \times 2) + (25 \times 2)\\ \\ {Hypotenuse}^{2} = 50 + 50\\ \\ {Hypotenuse}^{2} = 100\\ \\ {Hypotenuse}^{ \cancel{2}} = {10}^{ \cancel{2}} \\ \\ Hypotenuse = 10$