Question

Find m
measure of angle YQR=? Degrees

Answer 1

The measure of angle YQR= 21Degrees

How to solve for the measure of the angle

To solve the equation (16x - 27 = 5x + 6) for x, we'll first combine like terms and then isolate x:

`\(16x - 27 = 5x + 6\)`

Let's gather x terms on one side and constant terms on the other side:

`\(16x - 5x = 6 + 27\)`

\(11x = 33\)

Now, divide both sides by 11 to solve for \(x\):

`\(x = (33)/(11)\)`

x = 3

So, indeed x = 3 satisfies the equation.

Now, to find the value of ∡RQY:

Given x = 3, let's substitute x into the expression for ∡RQY:

∡RQY = 16x - 27

∡RQY = 16 * 3 - 27

∡RQY = 48 - 27

∡RQY = 21°

Therefore, the measure of angle ∡RQY is indeed 21° when \(x = 3\).