Question

Help for geo. Please give explanation thanks.

Answer 1

It’s a isosceles trapezoid or a quadrilateral. Either one should work. It has a line of symmetry bisecting one pair of opposite sides and both the legs and base angles are the same measure.

Answer 2

The name of the shape is a trapezium, due to the fact that it has got two parallel lines and two lines that will meet.(Think of it as a triangle that has got its top cut off)

Angle ABC is 40, because BCD and ABC are alternating angles.

Angle ACB is 65.
To get this answer, you need to first of all workout angle CBD and to do that you need to substract 40+75 from 180, which would give you 65. You do this due to the fact that all the angles in any given triangle add up to 180.

Then, to work out ACB you use the alternating angles theory again, and therefore angle ACB is 65.