Answer:
1. 30°
2. [tex]1:1:\sqrt{2}[/tex]
3. 20cm
4. 5cm
Step-by-step explanation:
for the first one:
we have the triangle RVT and we know that
[tex]\angle V = 90\\\\\angle R = 60[/tex]
so [tex]\angle T[/tex] [tex]+ \angle V+\angle R[/tex] = 180
so
[tex]\angle T = 30[/tex]
for the second one
we know by specials right triangles that the sides are
[tex]x:x:x\sqrt{2}[/tex]
divide by x and get
[tex]1:1:\sqrt{2}[/tex]
for the third one
again by 30-60-90 triangle we know that
[tex]2BC=AB\\\\2(10)=AB\\\\AB=20[/tex]
for the fourth one
here we can use excersie 3 and the ratio of XY:YC = 1:1
that means they are equal so
XY=YC
XY = 5
