Question

In figure 4, P parallel to Q and t is a tranversal such that angle 1 equal to 135 degree. find the measure of angle 2, angle 3, angle 4, angle 5, angle 6, angle 7 and angle 8.

Please give the answer with its statement and process.​

Answer 1

Answer:

The angles are -

• ∠2 = 45°
• ∠3 = 135°
• ∠4 = 45°
• ∠5 = 135°
• ∠6 = 45°
• ∠7 = 135°
• ∠8 = 45°

Step-by-step-explanation:

Gívєn -

Measure of ∠1 = 135°

Tσ fínd -

Measure of ∠2, ∠3, ∠4, ∠5, ∠6, ∠7 and ∠8

Sσlutíσn -

$\longrightarrow$ ∠3 = ∠1 ......... [ Vertically opposite angles ]

$\longrightarrow$ ∠3 = 135°

$\rule{300}{1.5}$

$\longrightarrow$ ∠4 = 180° - ∠3 ..... [ Adjacent angles are Supplementary ]

$\longrightarrow$ ∠4 = 180° - 135°

$\longrightarrow$ ∠4 = 45°

$\rule{300}{1.5}$

$\longrightarrow$ ∠2 = ∠4 ......... [ Vertically opposite angles ]

$\longrightarrow$ ∠2 = 45°

$\rule{300}{1.5}$

$\longrightarrow$ ∠7 = ∠3 ........ [ Corresponding angles are equal ]

$\longrightarrow$ ∠7 = 135°

$\rule{300}{1.5}$

$\longrightarrow$ ∠5 = ∠1 ........ [ Corresponding angles are equal ]

$\longrightarrow$ ∠5 = 135°

$\rule{300}{1.5}$

$\longrightarrow$ ∠8 = ∠4 ........ [ Corresponding angles are equal ]

$\longrightarrow$ ∠8 = 45°

$\rule{300}{1.5}$

$\longrightarrow$ ∠6 = ∠2 ....... [ Corresponding angles are equal ]

$\longrightarrow$ ∠6 = 45°

$\therefore$ The angles are -

• ∠2 = 45°
• ∠3 = 135°
• ∠4 = 45°
• ∠5 = 135°
• ∠6 = 45°
• ∠7 = 135°
• ∠8 = 45°

Answer 2

Answer:

In figure 4, P parallel to Q and t is a tranversal such that angle 1 equal to 135 degree. find the measure of angle 2, angle 3, angle 4, angle 5, angle 6, angle 7 and angle 8.

Please give the answer with its statement and process.