The values are vx = , vw =
and m∠x = 45°, for the given right angle diagram.
Step-by-step explanation:
The given is,
Right angled triangle XVW,
XW = 14
m∠V = 90°
m∠W = 45°
Step:1
Given diagram is right angle triangle,
Trigonometric ratios for right angle is,
∅
............................(1)
∅
.........................(2)
∅
..........................(3)
Step:2
For the value of VX,
∅
From given,
∅ = 45°
XW = 14
Above equation becomes,
45
Where, Sin 45 = ,
Step:3
For the value of VW,
∅
From given,
∅ = 45°
XW = 14
Above equation becomes,
45
Where, cos 45 = ,
Step:4
For the value m∠x = a,
a
From given,
VX =
VW =
Above equation becomes,
a
a = 1
a = (1)
a = 45°
m∠x = a = 45°
Step:5
Check for solution,
m∠v = m∠w + m∠x
= 45° + 45°
90° = 90°
Result:
The values are vx = , vw =
and m∠x = 45°, for the given right angle diagram.