Question

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Answer 1

Answer:

(9y+7) = (2y+98). (vertical opposite angles are equal )

9y+7=2y+98

9y-2y = 98 -7

7y = 91

y = 91 /7

y = 1 3

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Answer 2

$\rule{400}4$

☆ ANSWER:-

▪︎ To Find,

• The value of y....

▪︎ Concept Used:-

• Vertical opposite angles are always equal.

$\rule{400}2$

▪︎ Clearly,

• Here, in the figure we can see that the given angles are vertically opposite.

• So we can say that both the angles are equal.

$\rule{400}2$

▪︎ Therefore,

$\tt\mapsto(2y + 98)\degree = (9y + 7)\degree \\ \\ \tt\mapsto2y\degree + 98\degree = 9y\degree + 7\degree \\ \\ \tt\mapsto98\degree - 7\degree = 9y\degree - 2y\degree \\ \\ \tt\mapsto91\degree = 7y\degree \\ \\ \tt\mapsto7y\degree = 91\degree \\ \\ \tt\mapsto \: y = \cancel\frac{91\degree}{7\degree} \\ \\ \tt\large\red{\fbox{\mapsto \: y = 13.}}$

$\rule{400}4$

${\small{\green{\boxed{\sf{\therefore{The\:req.\:value\:of\:y\:is\:13.}}}}}}$

$\rule{400}4$