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solmaris [256]
3 years ago
10

Plz I NEEEEED HELP NOWWWW PLZ PLZ PLZ

Mathematics
1 answer:
Liula [17]3 years ago
3 0
<h2>○=> <u>Correct option</u> :</h2><h2>\color{hotpink}\bold{ (a) \: 130}</h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

=\tt 3p + 1 + p + 7 = 180

Let us solve that equation to find the value of p and the two angles :

=\tt 3p + 1 + p + 7 = 180

=\tt 3p + p + 1 + 7 = 180

=\tt 4p + 8 = 180

= \tt4p = 180 - 8

= \tt4p = 172

=\tt p =  \frac{172}{4}

\hookrightarrow \tt  \color{plum}p = 43

Thus, value of p = 43

Measure of angle (p+7)° :

=\tt 43 + 7

\tt\color{plum}angle \: (p + 7)° =\tt 50°

Measure of angle (3p+1)° :

=\tt 43 \times 3 + 1

= \tt129 + 1

\tt\color{plum}angle \: (3p + 1)° = 130°

Thus, the measure of the larger angle = 130°

Therefore, the correct option is <em>(a) 130</em>

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