Question

please help!!


If m<3=2x and m<2=3x, what is the measure of <1?

134
126
90
180

https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/parallel_and_perpendicular_lines/mc096-1.jpg

Answer 1

we have a right triangle, so angles 2 and 3 are complementary angles that add to 90 degrees

Answer 2

this means

m < 2 + m < 3 = 90

2x + 3x = 90

...
...
...

x = ???

Answer 3

18

Answer 4

oh i mixed up angles 2 and 3, but the mistake doesn't affect the answer for x

Answer 5

good, x = 18

Answer 6

now focus on angle 2

Answer 7

m < 2 = 3x

m < 2 = 3*18 ... plug in x = 18

m < 2 = ???

Answer 8

54

Answer 9

so if you know angle 2 is 54 degrees, then how can you use this to find angle 1?

Answer 10

multiply

Answer 11

hint: