In the diagram, < PSR = 220o, < SPQ = 58o
In the diagram, < PSR = 220o, < SPQ = 58o and < PQR = 41o. Calculate the obtuse angle QRS.
A.
90o
B.
100o
C.
121o
D.
60o
Correct answer is C
Joining SQ. In △ SPQ,
(22o + a) + 55o + (41o + b) = 180o
121o + a + b = 180o
a + b = 180 - 121
a + b = 59o.....(1)
In △ SRPQ; R + a + b = 180o
R + 59o = 180o
(in (1), a + b = 59o)
R = 180 - 59
R = 121o
Similar Questions
If b = a + cp and r = ab + 12cp2, express b2 in terms of a, c, r....
In the figure, WU//YZ, WY//YZ = 12cm, VZ = 6cm, XU = 8cm. Determine the length of WU. ...
In the figure, TSP = 100° and PRQ = 20°. Find PQR. ...
The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perim...
Correct 0.04945 to two significant figures ...
If the distance between the points (x, 3) and (-x, 2) is 5. Find x ...
If the mean of 3, 5, 8, k, 14 and 17 is 11, what is the value of k ...