Match the following columns:
Column I | Column II |
(a) An angle is 10° more than its complement. The measure of the angle is…. | (p) 160° |
(b) In ΔABC, ∠A = 65° and ∠B – ∠C = 25°, then ∠B = … | (q) 50° |
(c) In ΔABC, ∠A = 40° and ∠B = ∠C? If EF || BC, then ∠EFC = … | (r) 70° |
(d) If the angles around a point are 2x°, 3x°, 5x° and 40° then the measure of largest angle is………. | (s) 110° |
The correct answer is:
A. – …….., B. – ……….,
C. – ………, D. – ……….,
(a) – (q), (b) – (r), (c) – (s), (d) – (p)
(a) – (q)
x + x + 10 = 90
2x + 10 = 90
2x = 80
x = 40
x + 10 = 50O
(b) – (r)
A +
B +
C =180
65 + B +
B – 25 = 180
2B + 40 = 180
2B = 140
B = 70O
(d) – (p)
A +
B +
C +
D =360
2x + 3x + 5x + 40 = 360
10x + 40 = 360
10x = 320
X = 32O
5x = 32 X 5 = 160O