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Licemer1 [7]
3 years ago
9

In triangle MNP if the measure of angle R is five more than twice x, and the measure of angle S is one more than x, and the meas

ure of angle T is sixteen less than seven times x, whats x
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0

Answer:

x = 19

Step-by-step explanation:

Let's convert the given statements into algebraic expressions.

R is five more than twice x:

R = 2x + 5

S is one more than x:

S = x + 1

T is sixteen less than seven times x:

T = 7x - 16

Also, we know, the sum of 3 angles in a triangle is ALWAYS EQUAL to 180 degrees. Thus we can write:

R + S + T = 180

Substituting the expressions, we have:

2x + 5 + x + 1 + 7x - 16 = 180

Now we do algebra and simply solve for x. Shown below:

2x + 5 + x + 1 + 7x - 16 = 180\\10x-10=180\\10x=180+10\\10x=190\\x=\frac{190}{10}\\x=19

Hence, x = 19

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