Question

1. Construct the following quadrilaterals,

1. Parallelogram HEAR
HE=5 cm
EA=6 cm
ZR=85°​

Answer 1

Step-by-step explanation:

Let us consider,

Parallelogram HEAR

In which HE∥AR

and in which ∠R=85

∘

∠E=∠R (opposite angles of parallelogram are equal)

Therefore, ∠E=85

∘

Now,

∠A+∠R=180

∘

(sum of co-interiors angle are 180)

Hence ∠A=180

∘

−85

∘

Therefore, ∠A=95

∘

and ∠H=∠A (opposite angles of parallelogram)

∠H=95

∘

and HE=AR (opposite sides of parallelogram are equal and parallel)

AR=5cm

and EA=HR (opposite sides of parallelogram are equal and parallel)

Hence, HR=6cm

Answer 2

Answer:

5+6+85 = 180

11+85

96= 180

70