Question

Q4. Determine the values of p, q, and r in the following figure. 60° 50° P р 4​

Answer 1

Answer:

p=40,q=110degrees

Step-by-step explanation:

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Answer 2

Question :-

Q4. Determine the values of p, q, and r in the following figure.

Solution :-

Need to find :

• p
• q
• r

As we see, 60° and r and 50° are supplementry angles.

We know that,

• Supplementry angles are 180°.

Hence,

$\rm: \longmapsto{60 \degree + r + 50 \degree = 180 \degree} \\ \\ \rm: \longmapsto{r + 110 \degree = 180 \degree} \: \: \: \: \: \: \: \: \: \\ \\ \rm: \longmapsto{r = 180 \degree - 110 \degree} \: \: \: \: \: \: \: \: \: \\ \\ \bf: \longmapsto \red{r = 70 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now,

p and 60° and r are supplementry angles.

And we know,

• Supplementry angles are 180°.

Hence,

$\rm: \longmapsto{p + 60 \degree + 70 \degree = 180 \degree} \\ \\ \rm: \longmapsto{p + 130 \degree = 180 \degree} \: \: \: \: \: \: \: \: \: \: \\ \\ \rm: \longmapsto{p = 180 \degree - 130 \degree} \: \: \: \: \: \: \: \: \: \\ \\ \bf: \longmapsto \red{p = 50 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

And,

p and q are supplementry angles.

Then,

$\rm : \longmapsto{p + q = 180 \degree} \: \: \: \: \: \\ \\ \rm : \longmapsto{q = 180 \degree - 50 \degree} \: \\ \\ \bf : \longmapsto \red{q = 130 \degree} \: \: \: \: \: \: \: \: \:$

Answer :

• p = 50°
• q = 130°
• r = 70°

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