Question

Find the value of x and y in the given figure. In a triangle angle A =x , angle B=50°, angle C=y in exterior angle=120° find

Answer 1

Answer:

x= 70⁰ and y= 60⁰

Step-by-step explanation:

In ∆ ABC with an exterior angle ACD =120⁰

A= x , B = 50⁰ ,C = y

the sum of all angle of a triangle = 180⁰

so, angle A + angle B + angle C = 180⁰

x + 50⁰ + y = 180⁰ ------------ ( 1 ) equation

We have to find the value of y firstly

( By linear pair )

angle ACB + angle ACD = 180 ⁰

y + 120⁰ = 180⁰

y = 180⁰- 120⁰

y = 60⁰

Now , putting the value of y in equation (1 )

x + 50⁰ + y = 180⁰

x + 50⁰ + 60⁰ = 180⁰

x = 180⁰ - 110⁰

x = 70⁰

Hence , x= 70⁰ and y= 60⁰

Hope this will help you

Thankyou !!

Answer 2

Answer:

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