∠a and \angle b∠b are vertical angles. if m\angle a=(x+16)^{\circ}∠a=(x+16) and m\angle b=(3x-14)^{\circ}∠b=(3x−14), then find the measure of \angle a∠a.

The measure of angle A is 31 degrees.

Given:

Note:

Vertical angles are always congruent to each other.

Since angle A and angle B are vertical angles, therefore:

Substitute:

Solve for x

Divide both sides by 2

Find

Plug in the value of x

Therefore the measure of angle A is 31 degrees.

Learn more about vertical angles here:

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The measures of vertical angles are identical.

∠A = ∠B

x+16 = 3x-14 . . . . substitute the given measures

30 = 2x . . . . . . . . add 14-x

15 = x . . . . . . . . . .divide by 2

∠A = ∠B = 15+16 = 31

The measure of ∠A is 31°.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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