Q1 .one of the angles of a triangle is 110 degrees and other two angles are equal .what is the measure of the triangle ?

Q2. In the figure AB II QR .Find the value of angle APQ and BPR given the PRQ =50 degrees and PQP =40 degrees

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Q1 .one of the angles of a triangle is 110 degrees and other two angles are equal .what is the measure of the triangle ?

Let each of the other two angles be 'x'

We know that the sum of angles in a triangle = 180 degrees

x+x+110=180

2x+110=180

2x= 70

x=35 degrees

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Answer:

As we know that all the four angles of the rectangle are equal to 90o. Then the diagonal alongwith the two sides will form a right angle triangle.

By pythogoras theorom we know that:

Hypotenuse2= Perpendicular2+ Base2.

So Hypotenuse =√Perpendicular2+ Base2= (Here hypotenuse = ? and Perpendicular = Breadth of the rectangular field = 60 M and Base = Length of the rectangular field = 80 M).

Hypotenuse =√(80)2 + (60)2

Hypotenuse =√6400 + 3600

Hypotenuse =√10000 = 100 M.

If we had to walk on the adjacent side of the rectangular field, then we travel a distance of (80 + 60) = 140 M, and if we walk on the diagonal of the rectangular field we will travel = 100 M.

So we will walk (140 - 100) = 40 Mtrs less.

Ans: 40 Mtrs.

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Sorry I have typed you a wrong answer.

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