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Answers
Step-by-step explanation:
1)from the figure,
angle A=89°
angle B=38°
we know that the sum of all angles in a triangle =180°
=>angle A+angle B+angle C=180°
=>89°+38°+ angle C=180°
=>127°+y=180°
=>y=180°-127°
=>y=53°
and x+y=180°
since they are linear pair
=>x+53°=180°
=>x=180°-53°
=>x=127°
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2)from the figure,
x=56°
since alternative angles
x+75+third angle=180°
=>56°+85°+third angle=180°
=>third angle=180°-141°
=>third angle=39°
third angle+y=180°
y=180°-39°
=>y=141°
y+z=180°
since they are linear pair
=>141°+z=180°
=>z=180°-141°
=>z=39°
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3)63°=y
since they are alternative angles
x+63=180°
since they are linear pair
=>x=180°-63°
=>x=117°
x=z (alternative angles)
=>z=117°
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4)given triangle is a right angled triangle
hypotheses square is equal to the sum of the squares of the other two sides
=>13²=x²+5²
=>169=x²+25
=>x²=169-25
=>x²=144
=>x=√144
=>X=12
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5) from the figure ,
they are angles on the same line
=>3x-8+50+x+10=180°
=>4x+52=180°
=>4x=180°-52°
=>4x=128°
=>x=128/4
=>x=32°
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