Measures of two angles are $(a - 60^{o})$ and $(123^{0} - 2 a)$ . If each one is opposite to equal sides of an isosceles triangle, then find the value of a

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Solution

A] angles opposites to equal sides of an isosceles triangle are equal
$a - 60 = 123 - 2 a$
$\Rightarrow a + 2 a = 123 + 60$
$\Rightarrow 3 a = 183$
$\Rightarrow a = 61$
$∴ a = 61$

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Measures of two angles are (a−60o) and (1230−2a). If each one is opposite to equal sides of an isosceles triangle, then find the value of a

A] angles opposites to equal sides of an isosceles triangle are equal a−60=123−2a⇒a+2a=123+60⇒3a=183⇒a=61∴a=61

Measures of two angles are $(a - 60^{o})$ and $(123^{0} - 2 a)$ . If each one is opposite to equal sides of an isosceles triangle, then find the value of a

A] angles opposites to equal sides of an isosceles triangle are equal
$a - 60 = 123 - 2 a$
$\Rightarrow a + 2 a = 123 + 60$
$\Rightarrow 3 a = 183$
$\Rightarrow a = 61$
$∴ a = 61$