Find the value of x 15,26,46,80

Mathematics

1 answer:

12345 [234]4 years ago

4 0

The value of x equals 24

<h2>Explanation:</h2>

In order to find the solution to this problem, we know that ∠ABC and ∠DBE are vertical angles because they share the same vertex. Eureka! Vertical angles are always congruent meaning they measure the same value. So, it is true that:

$(3x-14)^{\circ}=(2x+10^{\circ}) \\ \\ 3x-14=2x+10 \\ \\ Solving \ for \ x: \\ \\ 3x-2x=14+10 \\ \\ \boxed{x=24}$

<h2>Learn more:</h2>

Characteristics of vertical angles: brainly.com/question/13410134

#LearnWithBrainly

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