Question

the sum of two unequal opposite angles of a kite is 120 degree find the measure of each of the other two angles​

Answer 1

Answer:

Each of other two angles is  120°

Step-by-step explanation:

Given as :

The sum of two unequal opposite angles of a kite is 120°

Since A kite is form of quadrilateral

Sum of four angles in kite = 360°

∠A + ∠B + ∠C + ∠D = 360°

∠A + ∠D = 120°             (sum of opposite angle = 120°)

Since other two angle are equal

So, 120° + ∠D + ∠D = 360°

I.e 2 ∠D = 360° - 120°

or, 2 ∠D = 240°

∴  ∠D = $\dfrac{240}{2}$ = 120°

So, ∠D =  ∠C = 120°

And

Hence, each of other two angles is  120°  Answer