Question

please give me the answer as fast as you can​

Answer 1

Explanation :

Given,

<DAB = 50⁰

AB = 8 cm

AD = 5 cm

Note : we have Taken angle as symbol '<'

a) Find the length of BC and CD

Solution → BC ≈ AD

In parallelogram,

( Two pairs of opposite sides are equal in length )

and AD = 5cm is given

so, BC = 5 cm

According to this we can find CD from AB

therefore, CD = 8 cm.

b. Find the measure of angle <ABC, <BCD, <CDA

solution →

given <DAB = 50⁰

so, According to property of parallelogram Adjacent angles are supplementary i.e. measure is 180⁰

< DAB + < ABC = 180⁰

50⁰ + < ABC = 180⁰

< ABC = 130⁰

2. < BCD

< BCD ≈ < DAB

< BCD = 50⁰

( Two pairs of opposite angles are equal in measure)

congurent.

3. < CDA

< CDA ≈ < ABC = 130⁰

c. ♦ The diagonals bisects each other.

♦ One pair of opposite sides is parallel and equal in length.

:)