The measures of the angles of △ABC are given by the expressions in the table. Angle Measure A ​​ (12x+12)∘ B 15° C (3x+18)∘ What is the measure of ∠A and ∠C ? Enter your answers in the boxes. ​ m∠A= ​ º ​ m∠C= ​ º

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Respuesta :

Answer:

m angle A=120° and m angle C=45°

Step-by-step explanation:

15x+45°=180°

15(x+3)=180°

x+3=12°

x=9°

The measure of ∠A and ∠C is 120 and 45.

What Angle Sum Property?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given:

 A =​​ (12x+12)°, B= 15° and C= (3x+18) °

Using Angle Sum property

∠A+∠B+∠C= 180°

12x+12+15+3x+18=180

15x+45=180

15x= 135

 x= 9°

Hence,  ​ m∠A= 12x+12= 12*9+12= 108+12=120

                ​ m∠C= 3x+18=3*9+18=27+18= 45º

Learn more about  Angle Sum property here:

https://brainly.com/question/21099419

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