A triangle is a three-edged polygon with three vertices. The measure of angle ∠1 is 72°.
What is a triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
In a triangle, a right angle is represented by making a square shaped angle. Therefore, the measure of one of the angle in the triangle is 90°.
Also, it is given that the measure of one of the angle of the triangle ∠2 is 18°.
Now, since the measure of all the angles of triangle is 180°. Thus, the sum of all the angles of triangle can be written as,
∠1 + ∠2 + 90° = 180°
∠1 + 18° + 90° = 180°
∠1 = 180° - 90° - 18°
∠1 = 72°
Hence, the measure of angle ∠1 is 72°.
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