Q.6 one of the angle of a triangle is 1200 and the other two angles are equal. Find the measure of each
of the equal angles.
Answers
Step-by-step explanation:
The angles of the triangle are 120°, 30° and 30°.
\mathfrak{\large{\underline{\underline{Step-by-step-explanation}}}}
Step−by−step−explanation
Given -
One Angle = 120°
The Measure of other 2 angles is same
To find -
The Measure of the Remaining angles
Solution -
Let the remaining two angles be as y, as the measure of the angles is same.
According to the Angle sum Property of Triangle ;
Sum of all angles in a triangle is 180°
\begin{gathered}\tt{\implies} \: {120}^{\circ} + {y}^{\circ} + {y}^{\circ} = {180}^{\circ} \\ \tt{\implies} \: {120}^{\circ} + {2y}^{\circ} = {180}^{\circ} \\ \tt{\implies} \: {2y}^{\circ} = {180}^{\circ} - {120}^{\circ} \\ \tt{\implies} \:{2y}^{\circ} = {60}^{\circ} \\ \tt{\implies} \:{y}^{\circ} = \frac{60}{2}\\ \tt{\implies} \:{y}^{\circ} = {30}^{\circ}\end{gathered}
⟹120
∘
+y
∘
+y
∘
=180
∘
⟹120
∘
+2y
∘
=180
∘
⟹2y
∘
=180
∘
−120
∘
⟹2y
∘
=60
∘
⟹y
∘
=
2
60
⟹y
∘
=30
∘
As y = 30°, both the angles are 30°
\therefore∴ The angles of the triangle are 120°, 30° and 30°.
\rule{300}{1.5}
\mathfrak{\large{\underline{\underline{Verification :-}}}}
Verification:−
Check if the sum of the angles is 180° or not.
\begin{gathered}\tt{\implies} \:{120}^{\circ} + {30}^{\circ} + {30}^{\circ} = {180}^{\circ} \\ \tt{\implies} \: {120}^{\circ} + {60}^{\circ} = {180}^{\circ} \\ \tt{\implies} \: {180}^{\circ} = {180}^{\circ}\end{gathered}
⟹120
∘
+30
∘
+30
∘
=180
∘
⟹120
∘
+60
∘
=180
∘
⟹180
∘
=180
∘
LHS = RHS
Answer:
it is not possible to one angle is 1200
because sum of Angel of a triangle is 180⁰
your question is fully wrong
Step-by-step explanation:
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