Answer:
Step-by-step explanation:
step 1
Find the measure of angle EFD
In this problem I will assume that ABCD is a parallelogram
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
so
--- > given problem
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle EFD
substitute the given values
step 2
Find the measure of angle EFB
we know that
---> by supplementary angles
we have
substitute
step 3
Find the value of x
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle EBF
we have
substitute
solve for x
Combine like terms
-4 because it makes it true
Answer:
true
Step-by-step explanation:
Using the exterior angle of a polygon theorem, the value of the missing angle is 58°
<h3>Calculating the value of a missing angle </h3>
From the question, we are to calculate the value of the missing angle.
From the given information, the missing angle is (3x -2)°.
To calculate the value of the missing angle,
First, we will determine the value of x
From the <em>Exterior angle of a polygon theorem</em>, we can write that
90° + (3x + 12)° + (4x - 10)° + (3x - 2)° + 70° = 360°
(3x + 12)° + (4x - 10)° + (3x - 2)° = 360° - 70° - 90°
3x° + 12° + 4x° - 10° + 3x° - 2° = 200°
10x° = 200° + 2° + 10° - 12°
10x° = 200°
x = 200/10
x = 20
The missing angle is (3x -2)°
Substitute the value of x
(3(20) -2)°
= (60 -2)°
= 58°
Thus,
The missing angle measure is 58°
Learn more on Calculating the value of a missing angle here: brainly.com/question/24524675
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