Answer :
The measure of an angle if the measures of its two adjacent supplementary angles at up to 100 is 130.
Define angle.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Given,
The measures of its two adjacent supplementary angles at up to 100.
We are aware of:
x + y = 180°
x + z = 180°
y + z = 100°
Combining the first two equations:
2x + y + z + 360° For the product of y + Z, substitute 100°.
Since 2x + 100° = 360°, both sides must be reduced by 100°.
Divide both sides by 2 to get 2x = 260°.
x = 130° .
The measure of an angle if the measures of its two adjacent supplementary angles at up to 100 is 130.
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