Question

XY and BD are parallel lines. X is a point on AB and C is a point on BD. XB = XC. a) Complete this sentence. Angle XBC = 55° because angles are correspondiner Al 559 Х -Y b) Work out angle BXC. Give a reason for each angle you work out. I B D с


someone help me please I'll give you most brainliest answer​

Answer 1

Answer:

Step-by-step explanation:

∠XBC = 55°

XB = XC. So, ΔXBC is an isosceles triangle

∠XCB = ∠XBC

∠XCB = 55°

In ΔXBC,

∠BXC + ∠XBC + ∠XCB = 180   {Angle sum property of triangle}

∠BXC  +55 +55 = 180

∠BXC + 110 = 180

∠BXC = 180 -110

∠BXC = 70°

Answer 2

Answer:

Given : XYAB

Solution:

(a) if XY || AB ad AB is the transversal line

then

<AXY = <XBC (Corresponding angles )

now

(b) since XB = XC XBC is the isosceles triangle

therefore

<XBC = <XCB (angle opposite to equal side are equal)

now , in triangle XBC

<XBC + <XCB + <BXC = 180° (angle sum property)

55 + 55 + <BXC = 180°

<BXC = 180°- 110° <BXC = 70°

hence ,<BXC = 70°

I hope this help u