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1. For an Isosceles triangle We know that base angles are same and the vertical angle is different
According to the statement
Vertical angle is 18°more than base angle
Let base angle be B
then vertical angle will be
B+18
Sum of angles of triangle
B +B (B+18)=180
2B+B+18=0
3B=180-18
3B =162°
B=54°
2. Common formula to be used here
Is
Sum of Angles of triangle =180°
- For question 1
66+31+x=180
X=83°
- For 2nd question REFER THE ATTACHMENT
3.
Refer the attachment for diagram
4.
We know that sum of angles of a triangle =180°
Hence
Hence The obtuse angle will be
3rd one
Hope it helps
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