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12 votes
12 votes
How do I find X in this problem

How do I find X in this problem-example-1
User Tolo Palmer
by
2.6k points

2 Answers

14 votes
14 votes

Answer:

x = 16

Explanation:

First you have to know the max degrees in this figure

Since the shape is a right triangle, then the max degrees is 180°

Now that box in the triangle indicates that the angle measures 90°

180° - 90° = 90°

so for both missing angles, we're going to create a equation that satisfy to 90°


(x+26)+(3x)=90

First subtract the 26 from both sides (on 90 and on the equation)


x+3x=64 (We're left with this)

64 = 3x + x

64 = 3(16) + 16

64 = 48 + 16

64 = 64

x = 16

User Charles Smith
by
3.2k points
30 votes
30 votes

Answer: x = 16°

Explanation:

  • This is a right triangle, which means all angles add up to 180°.
  • One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

User Alex Miller
by
2.4k points