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alexgriva [62]
3 years ago
13

Two lines intersect to form the angles shown.

Mathematics
2 answers:
Nataly_w [17]3 years ago
7 0

Answer:

Option B and C are the correct option.

Step-by-step explanation:

To solve this question we will go through each option given.

Option A. since ∠1 and angle = 100° are supplementary to each other.

∠1 + 100° = 180°

∠1 = 180 - 100

∠1 = 80° ≠ 100°   Incorrect option

Option B.

∠3 and angle = 100° are supplementary angles

∠3 + 100 = 180°

∠3 = 180 - 100

∠3 = 80°   Correct option

Option C.

∠3 and ∠1 are opposite angles

Therefore, ∠3 = ∠1    Correct option

Option D.

∠2 and angle = 100° are oppsite angles

Therefore, ∠2 = 100° ≠ 80°   Incorrect option

Option B and C are the correct option.

yawa3891 [41]3 years ago
3 0
The answer i think it is ,is b 





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Answer:

mRP = 125°

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Step-by-step explanation:

Given that

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Then:

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Given that

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Then:

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  • measure of arc QS, mQS = mROP = 125°

Given that

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Then:

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Given that

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Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

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  • measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

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