SOLVE ASAP I NEED THIS FOR GRADING

make the equation (3y + 5) + (2y -7) = 153 because of the exterior angle theorem

3y + 5 + 2y - 7 = 153

5y - 2 = 153

5y = 155

y = 3

then subsitute to get the final answers

∠Q = 98°

∠P = 55°

Step-by-step explanation:

Angle R can be calculated by subtracting the known angle from 180:

180 - 153 = 27

Step 1 - As all angles in a triangle add to 180, we can say:

3y + 5 + 2y - 7 + 27 = 180

Step 2 - Simplify by adding like terms:

5y + 25 = 180

Step 3 - Subtract 25 from both sides:

5y + 25 - 25 = 180 - 25

5y = 155

y = 31

Step 4 - Put back into the equations for each angle:

∠Q = 3y + 5

Put in y:

3(31) + 5 =

93 + 5 = 98

∠P = 2y - 7

2(31) - 7 = 55

So to conclude:

∠Q = 98°

∠P = 55°

Hope this helps!

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.