Question

Find the values of x and y, then state the theorem you used to solve this problem.

Answer 1

Answer:

x=13°

Y=38°

i think it's helpful for you

Answer 2

Answer:

X = 13 ⁰

Y = 38⁰

Step-by-step explanation:

Mark the corner of the triangle as A , B , C

Interior angle A = 180⁰ - 96⁰

= 84⁰

Interior angle B = 4x+6 = Exterior angle B ( vertically opposite angles)

Interior angle C = 180⁰-9x -25⁰

= -9x + 155

By the sum property:

<A + <B + <C = 180⁰

84+ 4x+6 -9x+155 = 180⁰

-5x + 245 = 180⁰

- 5x = - 65⁰

x. = 13

Angle A = 84⁰

Angle B = 4x+6 = 4×13+6 = 58⁰

Angle C = -9x+155 = -9×13+155 = 38⁰

Value of y will be equal to interior angle C

i.e 38⁰ ( vertically opposite angles)

Hope this helps

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