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1 year ago

Solve for x. Helpppp plisssssssssssss

Mathematics

2 answers:

kenny6666 [7]1 year ago

8 0

Answer:

x = 10

Step-by-step explanation:

Given a triangle with exterior angle 128° and opposite interior angles of 4x+3 and 9x-5, you want to find the value of x.

<h3>Setup</h3>

An exterior angle of a triangle has the same measure as the sum of the remote interior angles.

128 = (4x +3) +(9x -5)

<h3>Solution</h3>

Collecting terms, we have ...

128 = 13x -2

130 = 13x . . . . . . . add 2

10 = x . . . . . . . divide by 13

The value of x is 10.

NISA [10]1 year ago

7 0

The numerical value of x in the figure is 10.

<h3>What is the numerical value of x?</h3>

Sum of angles on a straight line equal 180 degrees.

Sum of interior angles of a triangle equals 180 degrees.

From the diagram, to determine the value of x, we need to find the third angle ∠CED.

Since the sum of angles on a straight line equal 180 degrees

∠CED + ∠BED = 180

∠CED + 128 = 180

∠CED = 180 - 128

∠CED = 52°

Also, sum of interior angles of a triangle equals 180 degrees.

Hence,

(4x + 3) + ( 9x - 5 ) + ∠CED = 180

(4x + 3) + ( 9x - 5 ) + 52 = 180

4x + 3 + 9x - 5 + 52 = 180

13x + 50 = 180

13x = 180 - 50

13x = 130

x = 130/13

x = 10

Therefore, the numerical value of x in the figure is 10.

Learn more about interior angles of triangle here: brainly.com/question/21404821

#SPJ1

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