Question

PLS HELP WILL MARK BRAINLIEST

Answer 1

Answer:

D

Step-by-step explanation:

In file

Answer 2

Answer:

D. x = 10, m<TRS = 60

Step-by-step explanation:

1. Approach

To solve this problem, one will set up an equation to model the problem. The problem gives that the sum of two angles (m<QRT and m<TRS) equals the third angle (m<QRS). Additionally, the measure of one of the angles is given (m<QRS = 122), and the expression for the values of the other two angles are given, (m<QRT = 7x - 8), (m<TRS = 6x). One can form an equation, and solve it to find the unknown. Finally, one can then substitute the values of the unknown, into the expression to find the measure of the angle.

2. Solve for (x)

One can set up an equation based on the given information, then solve the equation.

m<QRT + m<TRS = m<QRS

Substitute,

(7x - 8) + (6x) = 122

Simplify

7x - 8 + 6x = 122

13x - 8 = 122

Inverse operations

13x - 8 = 122

      +8    +8

13x = 130

/13      /13

x = 10

3. Find (m<TRS)

Now that one has the value of (x), one can substitute the value into the given expression for the (m<TRS), and solve to find the value.

m<TRS = 6x

x = 10

m<TRS = 6(10)

m<TRS = 60