Question

If m<1 is the supplement of m<2 and the measure of each angle is given:

Answer 1

Answer:

m<1 = 121°

m<2 = 59°

Step-by-step explanation:

If m<1 is the supplement of m<2 and the measure of each angle is given:

m<1=2x+65

m<2=3x-25

Find m<1:

When two angles are supplement of each other, there sum is equal to 180°

i.e m<1 + m<2 = 180°

Putting values and finding angle 1

$2x+65+3x-25=180\\5x+40=180\\5x=180-40\\5x=140\\x=\frac{140}{5}\\x=28$

So, we get x=28

Now finding m<1 by putting x=28

$m$

Now, finding m<2 by putting x=28

$m$

So, we get:

m<1 = 121°

m<2 = 59°