# Suppose the Angles of a Triangle Are (A − D), a , (A + D) Such that , (A + D) >A > (A − D). - Mathematics

Suppose the angles of a triangle are (a − d), a , (a + d) such that , (a + d)  >a >  (a − d).

#### Solution

$a - d + a + a + d = 180 \left[ angle sum property \right]$
$\Rightarrow 3a = 180$
$\Rightarrow a = 60$
$Now, \left( a + d \right) = 2\left( a - d \right)$
$\Rightarrow a + d = 2a - 2d$
$\Rightarrow a = 3d$
$\Rightarrow d = \frac{60}{3} = 20$
$\text{ Therefore, the three angles of a triangle are 40, 60, 80 } .$

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 5 Arithmetic Progression
Exercise 5.5 | Q 11 | Page 30