Question

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Answer 1

Question :-

In right angled triangle two acute angles are equal. Find the measure of two equal angles.

Answer :-

Let the equal angles be x

Sum of all angles = 180°

x + x + 90 = 180°

2x + 90 = 180°

2x = 90

x = 45°

Measure of each angle = 45°

Question :-

State the given measurements can form triangle or not 10 cm, 5 cm, 6cm.

Answer :-

By using the property of triangle :-

Sum of two smaller sides must be greater than largest side.

Fir given question :-

6 + 5 = 11 > 10

Hence, the triangle is possible.

Question :-

If 7 angles of octagon are each 105°. Calculate the measure of 8th angle.

Answer :-

Let measure of 8th angle be x

According to the question :-

105 + 105 + 105 + 105 + 105 + 105 + 105 + x = 1080°

735 + x = 1080

x = 345°

Question :-

Name the polygon based on angles and sides. Find the number of triangles in the polygon.

Answer :-

The given polygon has 6 sides.

Hence the polygon is Hexagon.