if ABIIDE, angle ABC=115º and angle BCD=55°, then find the value of x​ pls give me elaborated answer​

Question

if ABIIDE, angle ABC=115º and angle BCD=55°, then find the value of x​ pls give me elaborated answer​

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Camila 1 week 2021-09-12T16:37:18+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-12T16:39:08+00:00

    Answer:

    120°

    Step-by-step explanation:

    Solving Method –

    ∠BCD = ∠ABC – (180 -∠CDE)

    55 = 115 – (180 – x)

    55 = 115 – 180 + x

    55 = – 65 + x

    55 + 65 = x

    120 = x

    x = ∠CDE = 120°

    Chking Method –

    ∠BCD = ∠ABC – (180 – ∠CDE)

    ∠BCD = 115 – (180 – 120)

    ∠BCD = 115 – 60

    ∠BCD = 55

    55 = 55

    LHS = RHS

    Hope it helps you mate..

    🙂

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