Question

Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)

Answer 1

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = $\frac{168}{12}$

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°