Question

WORK OUT ANGLE BXC.
GIVE A REASON FOR EACH ANGLE YOUR WORK OUT

Answer 1

b) BXC=70

Explanation:

a)

Angle XBC = 55° as XY and BD are parallel lines, the interior angles on the same side of a transversal are supplementary hence the same.

b)

Triangle BXC is isosceles when XBC and XCB are both 55°

XBC+XCB+BXC= 180° (sum of angles of triangle)

55°+55°+BXC=180°

110°+BXC= 180°

BXC= 180°-110°

BXC= 70°

Answer 2

a) Angle XBC = 55° because it is a corresponding angle to 55°

b) angle BXC = 70°

Explanation:

ΔXBC is an isosceles triangle because XB = XC

∠XCB = ∠XBC because ΔXBC is an isosceles triangle

∠BXC = 180° - 55° - 55° = 70° because the sum of all the interior angles of a triangle - 180°