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Can someone help me find x and explain what they did

Can someone help me find x and explain what they did-example-1
User Paxz
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1 Answer

9 votes
9 votes

Explanation:

Example 7

Join C to B to form BC, thereby creating ∆ ABC

OC is the radius of the circle (O is the center of the circle).

AD is the tangent to the circle at point C

When a radius of a circle meets with a tangent of the same circle, the angle between them is 90°

<ACB = <ACO = 90°

<ABC = 180 - (<ACB + <BAC)

= 180-(90+40)

= 50

Look closely,

<ABC = x = 50°

.

.

Example 8

Do same as Example 7

Join O to B to form OB, which is the radius of the circle.

<ABO= 90°

< BOA = 50°

<OAB= x+25= 180-(90+50)

x+25= 40°

x = 15°

Can someone help me find x and explain what they did-example-1
Can someone help me find x and explain what they did-example-2
User Zaggi
by
3.3k points