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Mathematics

Grade-8

Easy

Question

$text Given that end text angle A equals 60 degree comma text what is the measure of end text angle B ?$

75^o
50^o
60^o
90^o

hint Hint:

We know the sum of all the interior angles of a triangle is 180.
the measure of angle c=2x+x

The correct answer is: 75^o

In triangle APC;
angle a=60 and angle p=90
We know the sum of all the interior angles of a triangle is 180.
angle a +angle p +angle c=180
60+90+2x=180
150+2x=180
2x=30
x=15
so, the measure of angle c=2x+x=3x
3x=3*15
angle c=45
Now, in the triangle ABC;
We know the sum of all the interior angles of a triangle is 180o.
angle a +angle b +angle c=180
60+angle b+45=180
angle b=180-105
angle b=75.
Therefore; the measure of angle b=75

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