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

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°

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

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)