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186 Learning Mathematics - VII, , Example 9. An angle is 30° more than one-half of its pa: Find the angle in des, Solution. Let the angle be x°, then its complement = (90 — x)°., According to given,, x = (00-4)? + 30°, => 2%&=9-x+60, => x+x=150 = 3x=150 — == 5(),, Hence, the tequired angle = 50°., , EXErCiseiO ; Se S. J, 1. (i) Can two right angles be complementary?, , plementary?, , complementary?, , supplementary?, idjacent?, , (i) Can two right angles be sup), (iii) Can two adjacent angles be, (iv) Can two adjacent angles be, (2) Can two obtuse angles be a, , , , @ (ii), 3. Find the Supplement of each of the following angles:, , , , supplementary irs of angles are complementa, () 55°, 125° Git) 137°, 450, (iv) 112°, 68° (vi) 722 18°., 5. (i) Find the angle which is equal to its complement,, (ii) Find the angle which is equal to its supplement,, 6. Two complementary angles are (x + 4), 7. Two supplementary angles are in the ra, , , , and (2x — 2)osfnd a, ji f le Val, tio of 2: 7, fing a ares, y, Ba