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4 years ago

In this diagram, lines AB and CD are parallel.

Mathematics

1 answer:

LuckyWell [14K]4 years ago

3 0

Answer:

1). m∠ACE = 115°

2). m(∠DCB) = 35°

3). m(∠ACB) = 30°

Step-by-step explanation:

In the diagram attached,

1). AB and CD are the parallel lines and the line AC is a transverse,

m(∠ABC) = 35°

m(∠BAC) = 115°

∠BAC ≅ ∠ACE [Alternate interior angles]

m(∠ACE) = m(∠BAC) = 115°

2). Since, AB and CD are the parallel lines and line CB is a transverse,

∠ABC ≅ ∠DCB [Alternate interior angles]

m(∠ABC) = m(∠DCB) = 35°

3). From ΔACB,

m(∠ACB) + m(∠CBA) + m(BAC) = 180°

m(∠ACB) + 35° + 115° = 180°

m(∠ACB) = 30°

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