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Answer:
The Proof is given below.
Step-by-step explanation:
Given:
P is the center of Circle
∠ONE ≅ ∠TEN
To Prove:
∠5 ≅ ∠6
Proof:
Exterior Angle Theorem:
Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.
STATEMENT REASON
1. So In ΔONE,
1. Exterior Angle Property of a Triangle.
2. Similarly In ΔTEN,
2. Exterior Angle Property of a Triangle.
3. But , ∠ONE ≅ ∠TEN 3. Given
4. And P is the center of circle So
4.radius of same circle
5. ΔPEN is an Isosceles triangle,
∴ ∠ 1 ≅ ∠ 2 5. Isosceles triangle property
6. ∴ ∠5 ≅ ∠6 6. From 3 and 5 Transitive Property.........Proved
Answer:
4
Step-by-step explanation:
The ratio of green : pink = 32 : 56 = 4 : 7
After 7 pink are given away, then
ratio = ? : 49 = 4 : 7 ← ratio has to be the same
Using proportion
=
( cross- multiply )
7? = 196 ( divide both sides by 7 )
? = 28
Thus the ratio = 28 : 49 = 4 : 7
Thus 32 - 28 = 4 green should be given