Question

In triangle PQR, angle P is congruent to angle R and the measure of angle Q is twice the measure of angle R. Find the measure of each angle.

Please help ASAP!
This is geometry and a written assignent.

Answer 1

In triangle PQR, angles P and R each measure 45 degrees, and angle Q measures 90 degrees.

Step-by-step explanation:

To find the measure of each angle in triangle PQR, where angle P is congruent to angle R and the measure of angle Q is twice the measure of angle R, we can use the fact that the sum of the angles in any triangle is 180 degrees.

Let's denote the measure of angle R as x. Because angle P is congruent to angle R, the measure of angle P is also x. According to the problem, the measure of angle Q is twice that of angle R, so it is 2x. Now, we can create an equation representing the sum of the angles:

x + x + 2x = 180

Combining like terms, we have:

4x = 180

Dividing both sides by 4 to solve for x:

x = 45

Now that we have the measure of angle R, we can find the measures of angles P and Q:

Angle P = x = 45 degrees

Angle R = x = 45 degrees

Angle Q = 2x = 90 degrees

Therefore, in triangle PQR, angles P and R each measure 45 degrees, and angle Q measures 90 degrees.

Answer 2

44.4

44.4

They are similar

Step-by-step explanation:

hope this helps