Question

I need helpp pleaseeeee

Answer 1

Answer/Step-by-step explanation:

The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.

Therefore:

7. <E = <G

Sum of interior angles of a quadrilateral = 360

Thus,

<E = (360 - (150 + 90))/2

<E = 120/2

<E = 60°

<E = <G (set of congruent opposite angles of a kite)

Therefore,

<G = 60°

8. <H = <F (set of congruent opposite angles of a kite)

<F = right angle = 90°

Therefore:

<H = 90°

<G = 360 - (90 + 110 + 90) (sum of quadrilateral)

<G = 70°

9. Based on trapezoid midsegment theorem, the equation should be:

MN = (AB + DC)/2

Thus:

8 = (14 + DC)/2

8 * 2 = 14 + DC

16 = 14 + DC

16 - 14 = DC

2 = DC

DC = 2

10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.

Therefore, m<A ≠ 50°

Rather, m<B = m<D = 120°

m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)

m<A = 70°