Q90 of 107 Page 104

Two complementary angles differ by 20°. Find the angles.

Let one of the angle be x, then other will be x – 20


According to the question,


x + (x – 20) = 90° [∵ sum of the complementary angles is 90°]


⇒ 2x – 20 = 90°


⇒ 2x = 90° + 20


⇒ 2x = 110°


⇒


⇒ x = 55°


Hence, the required angles are 55° and (55 – 20) ° i.e. 55° and 35°


More from this chapter

All 107 →
88

Each of the 2 equal sides of an isosceles triangle is twice as large as the third side. If the perimeter of the triangle is 30 cm, find the length of each side of the triangle.

 89

The sum of two consecutive multiples of 2 is 18. Find the numbers.

 91

150 has been divided into two parts such that twice the first part is equal to the second part. Find the parts.

 92

In a class of 60 students, the number of girls is one third the number of boys. Find the number of girls and boys in the class.