There's a theorem for this: the angle made by two intersecting secants of a circle has a measure equal to half the difference of the arcs the secants intercept. In this case,
<em>x</em> = (130° - 30°) / 2 = 50°
Answer:
112degrees
Step-by-step explanation:
Alternate angles form a 'Z' shape and are sometimes called 'Z angles'. a and b are adjacent angles. Adjacent angles add up to 180 degrees. ... These add up to 180 degrees (e and c are also interior).
Answer:
Son's age is 25.
Step-by-step explanation:
Let the Father's age be 2x.
Let the son's age be x.
Five years ago:
Man's age will be = 2x - 5
Son's age will be = x - 5
If the ratio of their ages five years ago was 9:4, then:
2x - 5/x-5 = 9/4
⇒ 4(2x - 5) = 9(x - 5)
⇒ 8x - 20 = 9x - 45
⇒ -20 + 45 = 9x - 8x
⇒ 25 = x
∴ x = 25
Hence, the son's age = 25 years
If x = 25, the father's age (2x) will be 2 × 25 = 50 years
