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belka [17]
3 years ago
7

The angle measurements in the diagram are represented by the following expressions.

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

<h2>143°</h2>

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

7x + 24 = 3x + 92

Move variable to L.H.S and change its sign

7x - 3x + 24 = 92

Move constant to R.H.S and change its sign

7x - 3x = 92 - 24

Calculate

4x = 68

Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{68}{4}

Calculate

x = 17

Replacing value

<A = 7x + 24

= 7 \times 17 + 24

= 119 + 24

= 143

hope this helps...

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