1.) 72 degrees
one straight line=180 degrees
so
2x+3x=180
5x=180
x=36
then since you need angle of ABC, if you look, ABC is 2x and we solved that x is 36 so 2x=2(36)=72
2.) 52 degrees
honestly this is a trick question but if you look closely, angle EFG is in a 90 degree angle with GFH. So literally all you have to do is 90-38= 52
7x-2(x+1)=6x+14
7x-2x-2=6x+14
5x-6x=14+2
-x=16
x=-16
Answer:
Step-by-step explanation:
x=-2, x=3
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x^2+5x+6=(-2)^2+5(-2)+6=(-2)(-2)-10+6=4-10+6=-6+6=0
x^2+5x+6=3^2+5(3)+6=9+15+6=24+6=30
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x^2-x-6=(-2)^2-(-2)-6=4+2-6=6-6=0
x^2-x-6=3^2-3-6=9-3-6=6-6=0
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Yeah, happened to me too. I just deleted and reinstalled the app which fixed it
(i) XYZ = 180 - 64
= 116 degrees
Opposite angles in a cyclic quadrilateral add up to 180 degrees
(ii) YXZ = 23 degrees
Alternate angles in a segment are the same
(iii) OXZ = 26
XOZ = 64 x 2
= 128 degrees
The the angle at the centre is double the angle at the circumference.
180 - 128 = 52
OXZ = 52/2
= 26
Triangle OZX is an isosceles triangle
(Don't forget to include the reasons above full marks)