Question

NEED HELP ASAP plzzz

Answer 1

x = 40

Explanation:

∠D = ∠ADB + ∠BDC

= 30 + 40

= 70°

In ΔBDC,

BD = CD

∠DBC = ∠DCB {angles opposite to equal sides are equal}

∠DBC + ∠DCB + ∠BDC = 180 {Angle sum property}

2∠DCB + 40 = 180

2∠DCB = 180 -40

2∠DCB = 140

∠DCB= 140/2

∠DCB = 70°

In ΔADC,

x + ∠D + ∠C = 180

x + 70 + 70 = 180

x + 140 = 180

x = 180 - 140

x = 40°