Question

Answer in explaination
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Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

• ∠C = 57°
• ∠BAC = 75°

Step-by-step explanation :-

To Find,

• ∠C
• ∠BAC

Solution,

Given that,

• ∠ABC = 68°
• ∠CAE = 105°

Therefore,

The measure of ∠BAC is,

➮ ∠BAC + ∠CAE = 180° ....... linear pair

➮ ∠BAC + 105° = 180°

➮ ∠BAC = 180° - 105°

➮ ∠BAC = 75° ★

Hence, the measure of ∠BAC is 75°.

Now, Verification

➮ 105 + 75 = 180

➮ 180 = 180

L.H.S = R.H.S

Hence, Verified !

The measure of ∠C is,

Let us assume ∠C as x,

➮ ∠BAC + ∠ABC + ∠C = 180° .... angle sum property of triangle

➮ 75° + 68° + x = 180°

➮ 123° + x = 180°

➮ x = 180° - 123°

➮ x = 57 ★

Hence, the measure of ∠C is 57°.

Now, Verification

➮ 75 + 68 + 57 = 180

➮ 123 + 57 = 180

➮ 180 = 180

L.H.S = R.H.S

Hence, Verified !