Frida owed
2 answers:
You might be interested in
Sorry for bad handwriting, while there are other ways to do this, if you can just know how to simply find the legs from the two points it is very simple!
Given:
m(ar AB) = 116°
To find:
1. The measure of arc BEA.
2. The measure of ∠CAB
3. The measure of ∠BAD
Solution:
1. The measure of arc of full circle is 360°.
m(ar AB) + m(ar BEA) = 360°
116° + m(ar BEA) = 360°
Subtract 116° from both sides.
m(ar BEA) = 244°
2. Using the tangent-chord angle theorem:
⇒ m∠CAB = 58°
3. Using the tangent-chord angle theorem:
⇒ m∠BAD = 122°
Using the fact that it is supplementary to ∠CAB.
⇒ m∠CAB + m∠BAD = 180°
⇒ 58° + m∠BAD = 180°
Subtract 58° from both sides.
⇒ m∠BAD = 122°