Question

Need help:
given that M∠QRT=105, find M∠QRS and M∠SRT​

Answer 1

m∠QRS = 30°

m∠SRT = 75°

Explanation:

Given;

• m∠QRT = 105°
• m∠QRS = (6x)°
• m∠SRT = (14x + 5)°

To Find;

• m∠QRS and m∠SRT

Now,

The sum of m∠QRS and m∠SRT is equal to m∠QRT which is 105°

So,

m∠QRS + m∠SRT = m∠QRT

(6x)° + (14x + 5)° = (105)°

6x + 14x + 5 = 105

20x + 105 - 5

20x = 100

x = 100/20

x = 5

Thus, The value of x is 5°

Now,

m∠QRS = (6x)° = 6 × 5 = 30°

m∠SRT = (14x + 5)° = 14(5) + 5 = 70 + 5 = 75°