Math, asked by ItsSpiderman44, 11 months ago

The measures of the angles of the
triangle are in A. P. The smallest angle
is 40. Find the angles of the triangle in
degree ​

Answers

Answered by xShreex
44

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\huge\underline{\underline\mathtt{Answer:-}}

\bf\large\underline\green{Solution:-}

Let the angles of the triangle be a - d.

a, a + d in degrees.

. a - d + a + a + d = 180°

.. 3a = 180°

.. a = 60°

Also, smallest angle

= 40°

.. a - d = 40°

.: 60° - d = 40°

: 60° - 40° = d

d = 20°

Now, a + d = 60° + 20° = 80°

Hence the angles are \bf\large\underline\red{40°,\:60°, \:80°}

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