In the diagram, POQ is the diameter of the circle centre ...
In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS
35o
70o
100o
125o
Correct answer is A
∠PSQ = 90° (angle in a semi-circle)
(when SR is joined to SP)
∠SPQ = 180 – (90+35) = 180 – 125 = 55°
∠QRS + ∠SPQ = 180° (opposite angles in a cyclic quad is supplementary)
∠QRS = 180° - 55°
= 125°
Similar Questions
The sketch is the curve of y = ax2 + bx + c. Find a, b and c respectively...
A box contains 40 identical balls of which 10 are red and 12 are blue. if a ball is selected at...
If a ∗ b = + √ab, evaluate 2 ∗(12 ∗ 27)...
The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is ...
If x varies directly as square root of y and x = 81 when y = 9, Find x when y = 179...
Find the 7th term of the sequence: 2, 5, 10, 17, 6,......
In a triangle XYZ, < YXZ = 44° and < XYZ = 112°. Calculate the acute angle b...
\(\begin{array}{c|c} Age(years) & 13 & 14 & 15 & 16 & 17 \\ \hline Frequency & 10 & 24 & 8 & 5...