(a) The diagram shows a triangle with one side extended.
Not to scale
Work out the value of \(a\). [2]
(b) Complete the statement below using the correct symbol and value from this list.\[< 90^\circ \qquad = 90^\circ \qquad > 90^\circ \qquad < 180^\circ \qquad = 180^\circ \qquad > 180^\circ\]
When the two smallest angles in a triangle are added the answer is always .................. [1]
Mark scheme (a)
Answer
Marks
Part marks and guidance
122
2
M1 for 180 – 40 – 82 oe or for 40 + 82
Answer 58 with no working scores 0 M1 may be implied by 58 e.g. seen in correct position on diagram
Must be explicit with no extras
Mark scheme (b)
Answer
Marks
Part marks and guidance
\(< 180\)
1
Mark answer line. If line blank accept any clear indication e.g. ringed, others deleted in list
