The value of the angles in the given diagram are 1 = 107⁰ , 2 = 107⁰, 3 = 73⁰ 4 = 100⁰ , 5 = 80⁰ and 6 = 100⁰
What are Supplementary angles?
Supplementary angles are those angles that sum up to 180 degrees.
Note: A straight line forms supplementary angles when another line cuts it into two parts.
See the 1st attached figure.
What are Vertically Opposite angles?
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other. These are sometimes called vertical angles.
See the 2nd attached figure.
Here, angle 1 and 2 , angle 3 and 73⁰ are Vertically opposite angles so angle 1 = angle 2 and angle 3 = 73⁰
also, angle 4 and angle 6 , angle 5 and 80⁰ are Vertically opposite angles so angle 4 = angle 6 and angle 5 = 80⁰
Here, angle 2 and 73⁰ forms supplementary angle so,
angle 2 + 73⁰ = 180⁰
angle 2 = 107⁰
similarly, angle 6 and 80⁰ forms supplementary angle so,
angle 6 + 80⁰ = 180⁰
angle 6 = 100⁰
now, angle 1 = 107⁰
angle 4 = 100⁰
Hence,
The value of the angles in the given diagram are 1 = 107⁰ , 2 = 107⁰, 3 = 73⁰ 4 = 100⁰ , 5 = 80⁰ and 6 = 100⁰
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