Question

find the value of x
​

Answer 1

Answer:

Step-by-step explanation:

In triangle ABC,

30+40+X=180

X=110

IN TRIANGLE ECD,

ANGLE ACB+ANGLE ECD

110+X=180

X=70

ANGLE E+ ANGLE C + ANGLE D =180

X+70+50=180

X=60

ANGLE AED+ ANGLE CED=180

X+60=180

X=120

Answer 2

40⁰ +30⁰+ angle BCA =180⁰ (angle sum )

70⁰+ angle BCA= 180⁰

angle BCA =180⁰ - 70⁰

angle BCA = 110⁰

angle BCA + angle ACD = 180⁰ (linear pair )

110⁰+ angle ACD=180⁰

angle ACD = 180⁰- 110⁰

angle ACD = 70⁰

angle ACD+angle EDC= angle DEA I.e x ( sum of opposite interior angles is equal to the opposite exterior angle)

therefore 70⁰+50⁰=x

x = 120⁰

Ans

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