If angle a and b are vertical angles, find measure angle a=8w+15 and measure angle b=4w+15. Created by johnangelomabborang. Math

If angle a and b are vertical angles, find measure angle a=8w+15 and measure ang...

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If angle a and b are vertical angles, find measure angle a=8w+15 and measure angle b=4w+15

SOLUTION:

Since angle a and angle b are vertical angles, they are congruent. Thus,

$\large \tt \angle a \cong \angle b \\ \\ \large \tt m \angle a = m\angle b \\ \\ \large \tt (8w + 15) = (4w + 15) \\ \\ \large \tt 8w + 15 = 4w + 15 \\ \\ \large \tt 8w - 4w = 15 - 15 \\ \\ \large \tt 4w = 0 \\ \\ \large \tt \frac{4w}{4} = \frac{0}{4} \\ \\ \large{\boxed{ \tt w=0}}$

Now, we will substitute the value of w to the given measure of the two angles.

$\large \tt m\angle a = (8w + 15) °\\ \\ \large \tt m\angle a = \bigg(8(0) + 15 \bigg)° \\ \\ \large \tt m\angle a = (0 + 15)° \\ \\ \large \red{ \boxed{ \tt m\angle a =15 °}} \\ \\ \\ \\ \large \tt m\angle b = (4w + 15) °\\ \\ \large \tt m\angle b = \bigg(4(0) + 15 \bigg)° \\ \\ \large \tt m\angle b = (0 + 15)° \\ \\ \large \red{ \boxed{ \tt m\angle b =15 °}}$

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CaylineKaye ate pa help po if may time kayo, may post po ako

chirilu hello, I'll try po

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