The measures of two adjacent angles of a parallelogram are in the ratio 3:2. Find the measure of each of the angles of the parallelogram.

Solution: If two triangles are similar to each other, then the ratio of the areas of these triangles will be equal to the square of the ratio of the corresponding sides...

Ratio of number of moles 1 /1 ∶ 8/ 16  Number of moles = Mass / Atomic mass Number of moles of hydrogen = 1/ 1 = 1  Number of moles of oxygen...

Suppose the measures of four angles are 3x, 5x, 9x and 13x.  ∴ 3x + 5x + 9x + 13x = 360° [Angle sum property of a quadrilateral]  ⇒ 30x = 360°  ⇒...

Given Hari age =5x given Harry age=7x 4 years later both of their age is =5x+4                                  ...

(i) 9 sides Solution: Since, 9 sides of a polygon has nine angles And we know that sum of exterior angles of a polygon = 360⁰ So, 9 exterior angles = 360° Or, 1 exterior...

Solution: 90°, as they add up to 180°

Solution: Angle sum of a convex quadrilateral = (4 – 2) x 180⁰ = 2 x 180⁰ = 360⁰ Since, quadrilateral, which is not convex, i.e. concave has same number of sides...

Salim would get the most accurate length. The reason is that in this case the length of the table can be measured in one go because the measuring tape is...

(c) Let the angles be 7x and 8x given angle are complementary to each other. 7x + 8x = 90° 15x = 90° x = 6° 7x = 7 ×...

(b) <1 + <2 90° (complementary angles) <2 = 90° – <1   90° – 45° <2 = 45° <2 + <3 = 180°(supplementary angles) <3 = 180° – <2 <3...