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skabetix

Hello,

[tex]3x° + (x + 14)° = 90°[/tex]

[tex]3x° + x° + 14° = 90°[/tex]

[tex]4x° + 14° = 90°[/tex]

[tex]4x° = 90° - 14°[/tex]

[tex]4x° = 76°[/tex]

[tex]x = \frac{76}{4} ° = 19°[/tex]

fieryanswererft

Answer:

Equation: [tex]\sf 3x + x + 14 = 90[/tex]

m∠1 = 57°

m∠2 = 33°

Explanation:

A right angle triangle has 90° angle measure.

Here:

m∠1 + m∠2 = 90°

(a)

Substitute given values:

(3x) + (x + 14) = 90

simplify

4x = 90 - 14

evaluate

4x = 76

divide both sides by 4

x = 19

(b)

m∠1 = 3x = 3(19) = 57°

m∠2 = x + 14 = 19 + 14 = 33°

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