In the given diagram, the measure of ∠3 will be 105°.
In the given diagram, ∠3 and ∠6 are consecutive interior angles.
<h3>How to form supplementary angles by transversal?</h3>
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then,
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 will be 105°.
Learn more about the measures of angles here: brainly.com/question/2883630
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Answer: Length of AB is 16 cm
Step-by-step explanation:
Given: Diameter of a circle is 20 cm and CE = 4 cm
Now as shown in figure AO, BO, CO are radii
Therefore
AO=BO=CO= 10 cm
Now
Now in Δ OEB
∠OEB =90°
Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.
So we have
Now as we know perpendicular to the chord from the center of a circle bisect the chord.
Therefore
Hence , the length of AB is 16 cm .
50 is the value cause 20 is 40 of the percent, 20+20 is 40 now you made it into 80%.20% is remaining so add 10.