Question

Please help me in this also​

Answer 1

Step-by-step explanation:

fig. 1

as PA || BC

so,

b = 50° ( alternate interior angle )

as DT || BC

→ a + b = 180

→ 50 + b = 180

→ b = 180 - 50 = 130°

b = 130°

therefore, a = 50° and b = 130°.

fig. 2

as all angle on a straight line is 180°.

so,

let angle 1 be 2x and angle 2 be 3x

so,

2x + 3x = 180

5x = 180

x = 180/5 = 36°

so,

angle 1 = 2x = 2(36) = 72°

angle 2 = 3x = 3(36) = 108°

angle 6 = 108° ( corresponding angles )

fig. 3

as angle PTR = 50° so angle P is also 50° because c || d.

we know, sum off angle of same side of transversal are 180° so,

p + x = 180

50 + x = 180

x = 180 - 50 = 130

x = 130°

fig. 4

a = 85° ( as QR || TS )

hope this answer helps you dear...take care !