Question

find x in the given figure ​

Answer 1

Answer:

given,

angle ABC is 65°

angle BAC is 75°

angle ACB is ?

65°+75°+angle ACB is 180°

140°+angle ACB=180°

angle ACB =180°-140°

angle ACB is 40°

angle ACB = angle DCE (therefore vertex angles are equal)

angle DCE = 40°

angle CES =110°

angle CDE = x°

x°=?

40°+110°+x°=180°

150°+x°=180°

x°=180°-150°

x°=30°

Step-by-step explanation:

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Answer 2

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∠x = 30°.

Step-by-step explanation:

We know that ABC is A Triangle.

So, [ Observe the figure]

• ∠1 = 180 -( 75 + 65) [ ASP of A Triangle].

• ∠1 = 180 - ( 140)

• ∠1 = 40°.

So,

• ∠2 = 40° [ Vertically Opposite Angles are equal]

So,

• ∠x = 180 -(110 + ∠2)

• ∠x = 180 - ( 110 + 40)

• ∠x = 180 - 150

• ∠x = 30°.