The diagram shows ABCD, where a ≠ b, a ≠ 0 and b ≠ 0.
2 answers:
C. ABCD is a trapezoid, but it is not an isosceles trapezoid.
Step-by-step explanation:
ABCD is a trapezoid not an isosceles trapezoid. Because opposite sides of isosceles trapezoid are parallel.
The characteristics of trapezoid are legs, lower base angles, upper base angles diagonals are congruent.
The characteristics of isosceles trapezoid are bases are parallel, opposite sides are same length.
From the above mentioned characteristics of an Trapezoid and Isosceles trapezoid the given is trapezoid.
Given data clearly mentioned in diagram ABCD, where a≠b, a≠0 and b≠0 So, it is trapezoid.
Result:
So, the given is Trapezoid not an isosceles trapezoid . Because ABCD, where a≠b, a≠0 and b≠0.
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Answer:
65°
Step-by-step explanation:
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Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus
The sum of the measures of all interior angles in triangle is always 180°, so
Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so