MATH 10
inscribed and intercepted angle
pasagot po plss
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MATH 10
inscribed and intercepted angle
pasagot po plss
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Answer with Step-by-step explanation:
1.) B.
The inscribed angle with 90 degree measure, a right angle, intercepts a semi-circle who endpoints are also endpoints of the diameter.
Hence, the measure of an inscribed angle in a semi-circle is a right angle.
2.) A.
The inscribed angle with 20-degree measure intercepts the arc with 40-degree measure also intercepted by the the 40-degree central angle.
Hence, the measure of anns inscribed angle is one-half the measure of its intercepted arc.
3.) D.
The illustration of circle has inscribed quadrilateral.
Opposite angles with 120-degree and 60-degree measures are supplementary. Their sum is 180 degrees.
Opposite angles with 90-degree and 90-degree measures are supplementary. Their sum is 180 degrees.
Hence, opposite angles of an inscribed quadrilateral are supplementary.
4.) C.
Inscribed angles with 35-degree and 35-degree measures intercept the same arc with 70-degree measure.
Hence, if two inscribed angles intercept the same arc, then the two angles are congruent.