Question

1. In a class of 42 students, the number of boys is ath of the number of girls. Find the number of
boys and girls in the class.
2. Between two supplementary angles, the measure of the larger angle is 36° more than the
measure of the smaller angle. Find their measures.
3. In an isosceles triangle, the base angles are equal and the vertex angle is 80°. Find the measure
of the base angles.

Answer 1

Answer:

i am not sure

$no \: of \: boys \: = 21 \\ no \: of \: girls = 21 \\ total = 42$

Answer 2

Step-by-step explanation:

2. The measures of the larger angle is 36° more than the measure of the smaller angle,

let the larger angle be x°. Then,

= (180 – x) + 36 = x

= 216 – x = x =

= 216 = x + x

= 216 = 2x

= x = 216/2

= x = 108

Larger angle = 108°

Smaller angle = (108 – 36)°

= 72° Thus, the smaller angle is 72°

3. let the base angle be x

x+x+80° = 180° (angle sum property of a triangle

2x = 180-8

x = 100/2

x = 50°

Thus, the base angles are 50

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