Question

Угол R:на уголP:уголQ=3:7:2 угол R,угол P,угол Q-?

Answer 1

3х+7х+2х=180

12х=180

х=15

3×15=45 угол r

7×15=105 угол p

2×15=30 угол q

Answer 2

To find the measures of angles R, P, and Q, let's assume that the measures are represented by x. We can set up the following equation based on the given ratios:

Angle R : Angle P : Angle Q = 3 : 7 : 2

This can be written as:

R : P : Q = 3x : 7x : 2x

The sum of the measures of angles in a triangle is always 180 degrees. So, we can write:

(3x) + (7x) + (2x) = 180

Now, solve for x:

12x = 180 x = 180 / 12 x = 15

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

Angle R = 3x = 3 * 15 = 45 degrees Angle P = 7x = 7 * 15 = 105 degrees Angle Q = 2x = 2 * 15 = 30 degrees

So, the measures of angles R, P, and Q are 45 degrees, 105 degrees, and 30 degrees, respectively.