The sum of two consecutive integers is 77. Find the integers.
2 answers:
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Step-by-step explanation:
Hey there!
1.》 Let the unknown angle be 'x'.
Now,
x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]
x = 180° - 134°
x = 46°
Therefore the missingangle is 46°.
2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]
angle 1 = 133°
Therefore the measure of angle 1 is 133°.
3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]
angle 2 = 180° - 133°
angle 2 = 47°
Therefore the measure of angle 2 is 47°.
4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.
See in picture;;; for more description for no.4.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
