Mathematics: 7. Find the specified value. (2x +5) a. Using the figure to the right, find the value of x. b. Using the figure to the right find the value of y.

7. Find the specified value. (2x +5) a. Using

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17.03.2022

a. The value of x is $38^{o}$ .

b. The value of y is $25^{o}$ .

Step-by-step explanation:

a. Applying the vertically opposite principle,

(2x + 5) = (3x - 33)

2x + 5 = 3x - 33

33 + 5 = 3x - 2x

38 = x

⇒ x = $38^{o}$

b. Sum of angles on a straight line = $180^{o}$

So that,

(4y - 1) + (3x - 33) = $180^{o}$

But,

( 3x - 33) = (3x38 - 33)

= 114 - 33

= $81^{o}$

(4y - 1) + $81^{o}$ = $180^{o}$

4y - 1 = $180^{o}$ - $81^{o}$

= $99^{o}$

4y = $99^{o}$ + 1

= $100^{o}$

y = $\frac{100}{4}$

= $25^{o}$

y = $25^{o}$

The value of x is $38^{o}$ , and y is $25^{o}$ .

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