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3 years ago

In ΔGHI, m∠G=(10x+9) ∘ , m∠H=(3x+13) ∘ , and m∠I=(x+4) ∘ . What is the value of x ?

Mathematics

2 answers:

9966 [12]3 years ago

8 0

Answer:

x=11∘

Step-by-step explanation:

So to do this, you need to understand that the sum of angles in a triangle is 180∘. If we understand this, we can add up all of the angles in ΔGHI and make the sum 180∘ to get an algebraic equation:

10x+9+3x+13+x+4=180 - Combine like terms

14x+26=180 - subtract 26 on both sides

14x = 154 - divide by 14 on both sides

x=11∘

Please mark brainliest if this helped

12345 [234]3 years ago

5 0

Answer:

$(10x + 9) \degree + (3x + 13) \degree + (x + 4) \degree = 180 \degree \\ 10x + 3x + x + 9 + 13 + 4 = 180 \degree \\ 14x + 26 = 180 \\ 14x = 180 -26 \\ 14x = 154 \\ x = \frac{154}{14} \\ \boxed{x = 11}$

To test subtitle 11 in x, your angles should add up to 180 degrees

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