Question

If triangle PQR Triangle STU complete the statements below

Answer 1

i. ST = 7 m

ii. SU = 8 m

iii. m<R =
`46^(o)`

iv. m<Q =
`75^(o)`

v. m<S =
`59^(o)`

Explanation:

Given: ΔPQR ≅ ΔSTU

Comparing the two triangles, we have;

i. ST = 7 m

ii. SU = 8 m

iii. m<R + m<P + m<Q = 180 (sum of angles in ΔPQR)

m<R + 59 + 75 = 180

m<R = 180 - 134

= 46

m<R =
`46^(o)`

iv. m<Q =
`75^(o)` (congruent angle with angle T)

v. m<S =
`59^(o)` (congruent angle with angle P)