Question

Zb. Solve for m4MQR.хM(3x+79)(-12x+133)QR

Answer 1

For this case we can see that < XQL and < MQR are opposed by the vertex so then are equal

And if we set up equal the measures given we got:

-12x+133= 3x+79

Now we can solve for x. We can add 12x in both sides of the equation and we got:

133= 15x+79

Now we can subtract both sides of the equation 79 and we got:

54= 15x

And finally we got:

x= 54/15= 3.6º

Now we can find the angle < MQR replacing the value of x like this: