Angle measure labeled a The arc mesure labeled c
2 answers:
Answer:
a = 24°
Step-by-step explanation:
Draw a radius from to the end of the chord.
The angle in the small sector is equal to the arc angle of 48°
The exterior angle is the supplement 180 - 48 = 132°
The isosceles triangle has two angles a of (180 - 132)/2 = 24°
This can be generalized to the angle between the chords is half of the arc angle when one chord is a diameter and the chords share a common endpoint.
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Answer:
x = 14
Step-by-step explanation:
In the triangle O is the centroid.
Now, we know that the centroid divides the medians in the 2 : 1 ratio that means the distance from the centroid to the vertex and the distance from the centroid to the opposite side remains in 2 : 1 ratio.
So, from the given diagram we can write
⇒ 3x = 4x - 14
⇒ x = 14 (Answer)