Question

2 angle A = 3 angle B and 2 angle B = 5angle C find the value of A : C
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Answer 1

The value of A:C is 15:4.

• Let angle A be denoted by A angle B by B and angle C by C.
• Given that, 2A = 3B and 2B=5C.
• Now we have to find the ratio of A:C.
• We need to have A in terms of C or vice versa.
• 2A = 3B (We write B in terms of A)

B = $\frac{2A}{3}$

• Substituting the value of B in other equation
• 2B = 5C

2($\frac{2A}{3}$) = 5C

$\frac{4A}{3}$ = 5C

4A =15C

$\frac{A}{C}$ = $\frac{15}{4}$

• Therefore a:c = 15:4