Question

(c) can these be the angle measures of a triangle?
$43^\circ, 14^\circ, 33^\circ$
yes
triangles with these measurements
no
(d) can these be the side lengths of a triangle?
5 cm, 3 cm, 7 cm
yes
triangles with these measurements
no

Explanation:

Step1: Sum the given angles

$43^\circ + 14^\circ + 33^\circ = 90^\circ$

Step2: Compare to triangle angle sum

Triangle angles sum to $180^\circ$. $90^\circ
eq 180^\circ$

Step3: Check triangle inequality (sides)

Test sum of two shortest sides: $5 + 3 = 8$ cm. Compare to longest side $7$ cm: $8 > 7$

Answer:

(c) No
(d) Yes