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Published on: 13/05/2022
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Questions + Answers key
Take MCQ Maths Test1.
In ΔPQR, find the exterior angle, ㄥSRQ.

2.
If two angles of a triangle having measures 650 and 350, find the measure of the third angle.
3.
In ΔSTU, if SU = UT, ㄥSUT = 700, ㄥSTU = x, find the value of x.
4.
Find the measure of the missing angle in the given triangle ABC.

5.
Can the following angles form a triangle?
(i) 800, 700, 500
(ii) 560, 640, 600
1.
Let, ㄥSRQ = x
Exterior angle = sum of two interior opposite angles
x = 380 + 440 = 820
2.
Given angles are 650 and 350.
Let the third angle be x
650 + 350 + x = 1800
1000 + x = 180°
x = 1800 – 1000
x = 800

3.
Given, ㄥSUT = 700
ㄥUST = ㄥSTU = x [Angles opposite to equal sides]
ㄥSUT + ㄥUST + ㄥSTU = 1800
700 + x + x = 1800
700 + 2x = 1800
2x = 1800 – 700
2x = 1100
x = \(\frac { { 110 }^{ 0 } }{ 2 } \) = 55°

4.
Let ㄥA = x
We know that, ㄥA + ㄥB + ㄥC = 1800 (angle sum property)
x + 440 + 310 = 1800
x + 750 = 1800
x = 1800 – 750
x = 1050
5.
(i) Given angles 800, 700, 500
Sum of the angles = 800 + 700 + 500 = 2000 ≠ 1800
The given angles cannot form a triangle.
(ii) Given angles 560, 640, 600
Sum of the angles = 560+ 640+ 600 = 1800
The given angles can form a triangle.

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