Question

Please solve the question given in the photo and please answer fast

Answer 1

Given :

• ∠1 = 60°
• ∠2 = 90°

To Find :

• ∠3 = ?

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\maltese$ We know That :

• Sum of Angles(Triangle) = 180°

$\maltese$ Calculating the 3rd Angle :

$\begin{gathered} \qquad \; :\implies \; \; \sf { \angle 1 + \angle 2 + \angle 3 = 180^{ \circ } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; :\implies \; \; \sf { 60^{ \circ } + 90^{ \circ } + \angle 3 = 180^{ \circ } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; :\implies \; \; \sf { 150^{ \circ } + \angle 3 = 180^{ \circ } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; :\implies \; \; \sf { \angle 3 = 180^{ \circ } - 150^{ \circ } } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; :\implies \; \; {\underline{\boxed{\pink{\pmb{\sf { \angle 3 = 30^{ \circ } }}}}}} \; \bigstar \\ \\ \\ \end{gathered}$

$\therefore \;$ Unknown Angle is 30° .

$\\ \qquad{\rule{200pt}{2pt}}$

Answer 2

Given :

This is right angled triangle , in right angled triangle one angle is 90°

• ∠1 = 60°
• ∠2 =90°

To Find :

• Value of unknown angle

Concept Using :

Angle sum property of a triangle

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠1 + ∠2 + ∠3 = 180°

• ∠1 = 60°
• ∠2 = 90°
• ∠1 = x

Solution :

According to the concept

↬∠1 + ∠2 + ∠3 = 180°

↬60° + 90° + x = 180°

↬150° + x = 180°

↬x = 180° - 150°

↬x = 30°

Hence , the value of unknown angle is 30°