Question

Question
please solve both of them with their values ​

Answer 1

Figure refers to attachment

→ 110° + ∠DCH = 180° [ Supplementary angle ]

→ ∠DCH = 180° - 110°

→ ∠DCH = 70°

• ∠DCH = ∠p = 70° [ Vertically opposite angle]

• ∠p = ∠r = 70° [ Alternate angle ]

• ∠p = ∠q = 70° [ Corresponding angle ]

•°• p = q = r = 70°

Focus Zone :

★ Corresponding angles lie on the same side of the transversal.

★ Alternate angles lie on the opposite sides of transversal

★ Two adjacent angles form a linear pair

★ Two angles formed by the intersection of two lines having a common vertex are called vertically opposite angle

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Answer 2

$\huge \fbox {Answer}$

$\angle \sf CHI + \angle DCH = 180$

$\sf \angle 110 + \angle DCH = 180$

$\sf \angle DCH = 180 - 110$

$\sf \angle DCH = 70 \circ$

$\angle \sf p = q = r$

$\sf p = 70$

P, Q and R is 70 ⁰

Learn more :-

• Corresponding lines are two lines that are congurent and parallel.
• Linear pair is the formation of two angles