Question

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IF YOU ONLY GET IT CORRECT AND PLEASE COULD YOU ONLY TRY AND DO THE ANSWER

Answer 1

Answer:

1. x = 19°

Step-by-step explanation:

ABCD is a parallelogram

therefore,

LA = 120° = LC                 [Opp. Angles of Parallelogram are equal]

LB = LD = 60°                  [Opp. Angles & Angle Sun of Parallelogram]

In Triangle EDC,

LBEC is an external angle,

therefore, LBEC = LECD + LEDC

LBEC = Lx + LEDC

therefore,

Lx = LBEC - LEDC

which gives

Lx = 19°

                                               

Answer 2

<EDC + <ADB + <BAD = 180° (Angles on same side of parallelogram)

=> <EDC = 180-158 = 22°

<DEC +<BEC =180° (Linear pair)

=> <DEC =180 - 41 =139°

<ECD +<DEC + <EDC = 180° (Angles In a triangle)

.

. . <ECD = 180 - 161 = 19°