Answer:
<TQU = 72°
Step-by-step explanation:
<WQT = 60°
=> <WQT = <UYX <u><em>(corresponding angles)</em></u>
=> <UYX = <YUV <u><em>(alternate angles)</em></u>
=> <YUV = <UQR <u><em>(corresponding angles)</em></u>
So, <UQR = 60°
Now,
<PQT+<TQU+<UQR = 180° <u><em>(angles on a straight line add up to 180°)</em></u>
48° + <TQU + 60° = 180°
<TQU + 108 = 180
Subtracting 108 from both sides
<TQU = 180-108
<TQU = 72°
Step-by-step explanation:
1. 2, 4, 6, 8, ...
This sequence has a common difference (+ 2). So it is arithmetic.
2. 9, 16, 25, 36, ...
This sequence has neither a common difference nor a common ratio.
3. 64, 32, 16, 8, ...
This sequence has a common ratio (× ½). So it is geometric.
