Question

What is the measure of ZX, in degrees?

Z
70
Y
6
6
X
O A. 70°
OB. 40°
O C. 20°
OD. Cannot be determined

Answer 1

B

Explanation:

Isosceles triangle property: If two sides are equal, then the angles opposite to the equal sides are equal and they are called base angles.

ZX = YX = 5.

So, ∠Z = ∠Y

∠Z = 70°

∠Z + ∠Y + ∠X = 180° {Sum of all angles of triangle is 180°}

70 + 70 + ∠X = 180

140 + ∠X = 180

∠X = 180 - 140

`\boxed{\bf \angle X = 40^\circ}`

Answer: ∠X = 40°