In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspa...
In the diagram, \(P\hat{Q}S = 65^o, R\hat{P}S = 40^o\hspace{1mm}and\hspace{1mm}Q\hat{S}R=20^o\hspace{1mm}, find P\hat{S}Q\)
85o
60o
55o
45o
Correct answer is C
< QPS = < PRS = 65° (angles in the same segment)
< PSR + 40° + 65° = 180°
< PSR + 105° = 180°
< PSR = 75°
< PSR = < PSQ + < QSR
75° = < PSQ + 20° \(\implies\) < PSQ = 75° - 20° = 55°
Similar Questions
If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?...
The roots of a quadratic equation are -1/4 and 3. The quadratic equation is...
Find the number of ways that the letters of the word EXCELLENCE be arranged ...
Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown ...
If h(m+n) = m(h+r) find h in terms of m, n and r ...
In the diagram, PQRS is a circle. find the value of x. ...
What is the circumference of latitude 0\(^o\)S if R is the radius of the earth? ...