Find the value of y if EF = EG.
Answers
y = angle G = 55 degrees
Step-by-step explanation:
Note: The picture attached with the question is wrong. Please find the correct diagram attached with this solution.
Solution:
Given that in triangle EFG, EF = EG.
Then EFG is an isosceles triangle with angle E as the vertex angle and angle F and G are base angles.
We know that base angles are equal in an isosceles triangle.
Given angle F is 55 degrees. So angle G is also 55 degrees. Hence y = 55 degrees.
The sum of the interior angles of any triangle adds up to 180∘.
So the vertex angle will be 180 - 110 = 70 degrees.
Angle E is 70 degrees.
Given : A triangle ABC showing ∠A=40° and ∠B=40° , BC = 8 m
To Find : ∠C , Length of AC
Solution:
In given figure there is no EF & FG
So answering as per figure
Sum of angles of triangle is 180°
∠A + ∠B + ∠C = 180°
=> 40° + 40° + ∠C = 180°
=> ∠C = 100°
∠A= ∠B
opposite angle to the equal sides of an isosceles triangle are equal
Hence side BC = AC
BC = 8 cm
=> AC = 8 cm
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