Question : One angle of an isosceles obtuse triangle is $28 {\frac{1}{2}}^{\circ}$ . Find the measure of its obtuse angle in degrees.
Option 1: $132^{\circ}$
Option 2: $112^{\circ}$
Option 3: $121^{\circ}$
Option 4: $123^{\circ}$

Question

Question : Three angles of a triangle are $(x - 15^{\circ}), (x + 45^{\circ}),$ and $(x + 60^{\circ})$ . Identify the type of triangle.
Option 1: Obtuse angle triangle
Option 2: Right angle triangle
Option 3: Isosceles triangle
Option 4: Equilateral triangle

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Answer 1

Correct Answer: $123^{\circ}$

Solution : One of the angles of obtuse-angled isosceles triangle is ${\frac{57}{2}}^{\circ}$ , the other same angle will be ${\frac{57}{2}}^{\circ}$ .
Let the obtuse angle be $x$ .
Thus, the sum of angles of a triangle $= 180^{\circ}$
⇒ $\frac{57}{2} + \frac{57}{2} + x = 180^{\circ}$
⇒ $\frac{114}{2} + x = 180^{\circ}$
⇒ $57 + x = 180^{\circ}$
⇒ $x = 123^{\circ}$
So, the measure of its obtuse angle is $123^{\circ}$ .
Hence, the correct answer is $123^{\circ}$ .

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Question : One angle of an isosceles obtuse triangle is 2812∘. Find the measure of its obtuse angle in degrees.Option 1: 132∘Option 2: 112∘Option 3: 121∘Option 4: 123∘

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Question : One angle of an isosceles obtuse triangle is $28 {\frac{1}{2}}^{\circ}$ . Find the measure of its obtuse angle in degrees.
Option 1: $132^{\circ}$
Option 2: $112^{\circ}$
Option 3: $121^{\circ}$
Option 4: $123^{\circ}$