Question

Its 6 angles
6)
Find the unknown angles in these figures
() ABCD
20​

Answer 1

Step-by-step explanation:

sol(i)

given:

AB//CD

Now,

<ABP=<CDP (corresponding angles are equal)

therefore y= 92°

In ΔAPB

<APB+<PBA+<BAP=180° (angle Sum Property)

45°+92°+x=180°

137°+x=180

x=180°-137°

x=43°

Therefore, <PAB=<PCD=43°

sol(ii)

(Solution is in the picture)

sol(iii)

(To understand the solution given below look at the diagram in the picture)

Given:

x+y=90°

therefore, <DAB=90°

In ΔABD

<BAD+<ADB+<DBA=180° ( Angle Sum Property)

90°+60°+z=180°

150°+z=180°

z=180°-150°

z=30°

Now,

Since ΔACB is a right angle Δ

therefore <ACB=90°

In ΔACB

<ACB+<CBA+<BAC=180° (Angle Sum Property)

90°+30°+y=180°

120°+y=180°

y=180°-120°

y=60°

therefore,

x+y=180° (given)

x+60°=180°

x=180°-60°

x=120°

Mark me as brainliest