Question

What is the m∠q ?????????????????????? help i taking a test and imma get beat if i fail

Answer 1

x = 30

Explanation:

this is an isosceles triangle, which mean that PRQ and PQR are equal.

all sides of a triangle equal 180.

using this, you can make the following equation:

x + (2x + 15) + (2x + 15) = 180

combine like terms

5x + 30 = 180

subtract 30 from both sides

5x = 150

divide both sides by 5

x = 30

Answer 2

Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.

Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A

Applying that here:

40^2 = 32^2 + 64^2 - 2(32)(64)cos Q

Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.

Explanation: