If m rst = 70, m qst = 2x, and m qsr = 3x-10 what is the m qsr 1. 48 2. 16 3. 32 4. 38

Answer 1

We know that the sum of the measures of the interior angles of a triangle is 180 degrees. Therefore, we can set up the equation:

m(rst) + m(qst) + m(qsr) = 180

Substituting the given values:

70 + 2x + 3x - 10 = 180

Combining like terms:

70 + 5x - 10 = 180

60 + 5x = 180

Subtracting 60 from both sides:

5x = 120

Dividing both sides by 5:

x = 24

Now, we can find the measure of m(qsr):

m(qsr) = 3x - 10 = 3(24) - 10 = 72 - 10 = 62

Therefore, the measure of m(qsr) is not one of the given options.