Question

Need help with 7 geometry questions

Answer 1

Option (C) is correct.

∠JCQ = ∠RCQ,

Explanation:

Given a geometric figure, RJCYBQ

We have to find the relation between two given angles that is ∠JCQ and ∠RCQ,

Consider the two given angles ∠JCQ and ∠RCQ,

We can see that both given angles are measuring ∠C.

Thus, the value of ∠JCQ and ∠RCQ must be equal as J and Q lies on same line segment RJC.

Two different angles measuring same value cannot be different.

So, ∠JCQ = ∠RCQ,

Thus, Option (C) is correct.

Answer 2

Answer:
`\angle JCQ = \angle RCQ`

Explanation:

By the reflexive property of congruence,

A measurement is always equal to itself,

In the given diagram,

`\angle JCQ` and
`\angle RCQ` are reflexive angles,

Therefore, they must be equal,

That is,
`\angle JCQ = \angle RCQ`

⇒ Option C is correct.