In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR
39º
80º
110º
141º
Correct answer is B
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. ∠M = ∠R + ∠N → 141 = 41 + ∠N ∠N = 141 - 41 = 100º ∠QNR = 180 - 100 → 80º
Similar Questions
Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one...
The sum of 2 consecutive whole numbers is 56 of their product, find the numbers...
Which of the following statement is not true about a rectangle? I.Each diagonal cuts the rectangl...
If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median ...
In the diagram, if PS = SR and PQ||SQ, what is the size of PQR?...
A binary operation * is defined by x * y = xy. If x * 2 = 12 - x, find the possible values of x...