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quester [9]
2 years ago
15

What is the measure of A??

Mathematics
2 answers:
mart [117]2 years ago
5 0
<h3>Question:- What is the measure of A?</h3>

<h3>Given :- </h3>

With respect to the diagram in question

  1. Angle A = (3x-13)°
  2. Angle B = (2x+4)°
  3. Exterior Angle C = 116°

<h2>Answer:- </h2>

Exterior Angle property

Exterior angle of triangle is equal to sum of two opposite interior angle .

<h3>ATQ :- </h3>

\angle{A} + \angle{ B} = ext \angle C \\ putting \: the \: value \\ 3x - 13 + 2x + 4 = 116 \\ 5x - 9 = 116 \\ 5x = 125 \\ x =  \frac{125}{5}  \\ x =  \frac{ \cancel{125} {}^{ \:  \: 25} }{ \cancel5}  \\ x = 25

For Angle A :- 3x-13

\angle A  = 3x-13  \\  \angle A  = 3(25)-13  = 75 - 13  \\  \angle A  = 62 \degree

omeli [17]2 years ago
3 0

Answer:

Step-by-step explanation:

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