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g100num [7]
2 years ago
12

In right △ABC with right angle B, m∠A=(3x−8)° and m∠C=(x−2)°.

Mathematics
2 answers:
Crank2 years ago
8 0

Answer:

Option 2nd is correct

67°

Step-by-step explanation:

Given that:

In right △ABC with right angle B.

m \angle B = 90^{\circ}, m∠A=(3x−8)° and m∠C=(x−2)°.

We know that the sum of all the measures of a triangle is 180 degree

In triangle ABC

⇒m\angle A+ m\angle B+ m\angle C = 180^{\circ}

Substitute the values we have;

3x-8+90^{\circ}+x-2 = 180^{\circ}

Subtract 90 degree from both sides we have;

3x-8+x-2 = 90^{\circ}

Combine like terms;

4x-10= 90^{\circ}

Add 10 to both sides we have;

4x=100^{\circ}

Divide both sides by 4 we have;

x=25^{\circ}

then;

m∠A=(3(25)−8)° = (75-8)° = 67°

Therefore, the measure of angle A is, 67°

Lubov Fominskaja [6]2 years ago
5 0
Add both and set it equal to 90
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