Question

Math question
please​

Answer 1

Answer:

Step-by-step explanation:

Given: AX = XB; BY = YC; CZ = ZA; angle A=40°; B=80°; C=60°

We need to find the angles of triangle XYZ.

By midpoint theorem,

XZ = ½ BC

so, XZ/BC = ½ ……………(I)

YX = ½ CA

so, XY/CA = ½ ……………(II)

YZ = ½ AB

so, YZ/AB = ½ ……………(III)

FROM (I), (II), (III),

XZ/BC=XY/CA=YZ/AB

Therefore, triangles ABC and XYZ are similar

Since similar triangles have equal angles

angle A = angle Y = 40°

angle B = angle Z = 80°

angle C = angle X = 60°

Mark me brainliest