Question

Two angles of a triangle measure 80° and 45°. The measure of the third angle is

Answer 1

Question :

• Two sides of the triangle are 80° and 45°

To find :

• The measure of the third angle

Solution :

In the given question we have to first add both the angles of triangles which are given then we will subtract the addition of both angles from 180° and because 'Sum of the three sides of Triangle is 180°' and to get any of the missing sides first we will add the given both sides and then, we will subtract it form 180°

${\underline{\underline{\mathfrak{\green{As \ we \ know \ that}}}}}$

$\;\boxed{\sf{\pink{Sum \ of \ the \ three \ sides \ of \ Triangle \mapsto 180 °}}}$

$: \implies$  80° +  45°

⠀$: \implies$ 125°

$: \implies$ 180° - 125°

⠀$: \implies$  ${\underline{\boxed{\pink{\mathfrak{55°}}}}}$

•°• Hence, verified! that the third side of the triangle is 55°

Diagram :

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){ \bf 80 }\put(0.5,-0.3){ \bf 55 }\put(5.2,-0.3){ \bf 45 }\end{picture}$

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