Question

find the measure of PQS
RQS already has (x-60) Degrees
your answer choices are
2x - 60 = 180
2x - 60 = 90
x - 60 = 90
x - 60 = 180

Answer 1

A right triangle has three points, A, B, and C
A is to the far-right C is right under B, and B which is the highest point has 2x beside it
Your only responses are 30, 45, 60, and 90.

Answer 2

Oh my bad and A also has a x with nothing else

Answer 3

To find the measure of angle PQS, we know that angles PQS and RQS are supplementary (add up to 180 degrees) since they form a straight line together.

Since RQS is (x-60) degrees, angle PQS must be 180 - (x-60) = 180 - x + 60 = 240 - x degrees.

So, the measure of angle PQS is x - 60 = 180, which is the final answer choice.

Answer 4

Since we know that the triangle is a right triangle and one of the angles is 90 degrees, we can conclude that the other two angles are complementary (add up to 90 degrees).

Given that the measure of angle B is 2x, we know that the sum of angles A and C is 90 - 2x degrees.

Since the sum of all angles in a triangle is 180 degrees and angle B is 90 degrees, the sum of angles A and C is 90 degrees as well.

Therefore, we can set up the equation: 90 - 2x + 90 = 180.

Solving for x, we get:

180 - 90 = 2x
90 = 2x
x = 45

Therefore, the measure of angle B (2x) is 2 * 45 = 90 degrees.

Hence, the measure of angle B is 90 degrees. The answer from the given options is 90.

Answer 5

No problem! Since we already know that angle B is 90 degrees, we can now focus on angles A and C which are the remaining angles in the right triangle.

Given that angle A is x and angle B is 90 degrees:

x + 90 + C = 180 (sum of angles in a triangle is 180)

Therefore, x + 90 + C = 180
We know that C is a right angle in a right triangle, so C = 90 degrees.

Substitute the known values:

x + 90 + 90 = 180
x + 180 = 180
x = 180 - 180
x = 0

The measure of angle A is x, which is 0 degrees.

Therefore, the measure of angle A is 0 degrees. The answer from the given options is not in the provided choices.