Question

give me answer please ​

Answer 1

Answer:

(i) x= 55°

(ii) x=30°

here is the answer. hope it helps.

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Answer 2

Answer:

Step-by-step explanation:

i) ∠BAC = 60°             [Vertically Opposite Angles]

= ∠BCA + 115° = 180°             [Linear Pairs]

= ∠BCA = 180° - 115°

= ∠BCA = 65°

= ∠BAC + ∠BCA + $x$ = 180°                [Angle Sum Property Of Triangle]

= 60° + 65° + $x$ = 180°

= 125° + $x$ = 180°

= $x$ = 180° - 125°

= $x$ = 55°

ii) 75° + 65° + ∠AEB = 180°         [Angle Sum Property Of Triangle]

= 140° + ∠AEB = 180°

= ∠AEB = 180° - 140°

= ∠AEB = 40°

= ∠AEB = ∠DEC              [Vertically Opposite Angles]

= ∠DEC = 40°

= ∠DEC + 110° + $x$ = 180°                [Angle Sum Property Of Triangle]

= 40° + 110° + $x$ = 180°

= 150° + $x$ = 180°

= $x$ = 180° - 150°

= $x$ = 30°

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