Answer:

Step-by-step explanation:
Let point
be the point where the straight line drawn from point
meets the straight line
, it is evident that
and
is similar given that both triangles share the same angle,
. Hence, the ratio of the sides of each triangle is the same. Specifically,
.
Performing cross multiplication yields
.
st + 3t = 6 for s
Subtract 3t to both sides
st + 3t - 3t = 6 - 3t
Simplify
st = 6 - 3t
Divide both sides by t
st/t = (6-3t)/3
simplify
s = 6/3 - 3t/3
s = 2 - t
Answer:
∠1 = 72°
Step-by-step explanation:
Complementary angles sum to 90°, thus
∠1 + ∠2 = 90, substitute ∠1 = 4∠2 , thus
4∠2 + ∠2 = 90
5∠2 = 90 ( divide both sides by 5 )
∠2 = 18°
Hence ∠1 = 90 - 18 = 72°