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Sagot :
Angles ∠1, 24°, and 59° are supplementary angles. Then The measure of angle ∠1 is 97 degrees.
What is an angle?
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Alternate angle - If two lines are parallel then the third line will make z -angle and z-angles are equal angles with the parallel lines.
[tex]\rm 6x + 5 = 7x - 4[/tex] (corresponding angles)
On simplifying, we have
x = 9°
Then
6x + 5 = 7x - 4 = 59°
And
[tex]\angle 2 = \dfrac{48}{2} = 24^o[/tex]
Then we know
∠1 + ∠2 + 59° = 180° (Supplementary angle)
∠1 + 24° + 59° = 180°
∠1 = 97°
The measure of angle ∠1 is 97 degrees.
More about the angle link is given below.
https://brainly.com/question/15767203
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