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Arada [10]
3 years ago
10

The measure of the obtuse angle in the isosceles triangle is two and a half times the measure of one of the acute angles. Write

and solve a system of linear equations to find the measure of each angle.
An isosceles triangle with interior angles labeled y degrees, x degrees, and x degrees.
System of linear equations
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

The measures are 40°, 40°, 100°.

Step-by-step explanation:

x + x + y = 180

y = 2.5x

2x + 2.5x = 180

4.5x = 180

x = 40

y = 2.5x = 2.5(40) = 100

The measures are 40°, 40°, 100°.

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-3(12 - m) = -1(m - 8)
victus00 [196]

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m = 7

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7 0
3 years ago
What is the measure of an angle, in degrees, if its supplement is six times its complement?
Igoryamba

Answer:

72 degrees.

Step-by-step explanation:

We can name the measure of the angle x.

We can name the measure of the complement of it y.

Note that complementary angles add up to 90 degrees and supplementary angles add up to 180 degrees.

Using this info, we can set up two equations.

x+y=90

x+6y=180

Subtract the first equation from the second to eliminate x. You can do both ways, but I prefer to keep the equation positive.

x+6y=180

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The measure of the angle is 72 degrees.

7 0
3 years ago
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