Question

#4 Can someone please help me with these questions!!!!

I am learning geometry and I’m having trouble figuring this out, if someone who know geometry or took geometry can help me out, it would be appreciated greatly!

Answer 1

Answer: option D is the correct answer.

Explanation:

The given figure is a kite. In a kite, the diagonal are perpendicular. It means that the diagonals meet at 90 degrees. Therefore,

Angle 1 = 90 degrees

Angle 3 = 90 degrees

Also, the sum of the angles in a triangle is 180 degrees.

Let x represent the third angle in the right angle triangle containing angle 1 and 50 degrees. It means that

50 + 90 + x = 180

140 + x = 180

x = 180 - 140 = 40 degrees

The pair of opposite sides and opposite angles are congruent. It means that

angle 2 = Angle x

angle 2 = 40 degrees