Given the following diagram, find the missing measure.
m∠2 = 2x°, m∠3 = 5x°, m∠1 =
a.2x + 5x
b.5x - 2x
c.180 - 5x
d.180 - 7x

we know that

The sum of the internal angles of the triangle is equal to degrees

in this problem we have

m∠2=

m∠3=

m∠1+m∠2+m∠3=

Substitute the values and solve for m∠1

m∠1=

m∠1=

Remember that

m∠1+m∠4= -------> by supplementary angles

Substitute the value of m∠1 and find m∠4

m∠4=

m∠4=

therefore

the answer is

a) the measure of m∠1=

b)  the measure of m∠4=

hreryryrranswer:

step-by-step explanation: