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2 years ago

What is the measure of ZB?

Mathematics

2 answers:

Norma-Jean [14]2 years ago

6 0

Answer:

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

180 - 36 - 28 =

116°

brilliants [131]2 years ago

5 0

Answer:

∠ B = 116°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ B + 28° + 36° = 180°

∠ B + 64° = 180° ( subtract 64° from both sides )

∠ B = 116°

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3 years ago

Given: m∠EYL=72°<br> Find: mEHL , mLVE

White raven [17]

Answer:

Part 1) The measure of arc EHL is $108\°$

Part 2) The measure of angle LVE is $54\°$

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

$m$

we have

$m$

substitute

$72\°=\frac{1}{2}(y-x)$

$144\°=(y-x)$

$y=144\°+x$ ------> equation A

Remember that

$x+y=360\°$ -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

$x+(144\°+x)=360\°$

$2x=360\°-144\°$

$x=216\°/2=108\°$

Find the value of y

$y=144\°+x$

$y=144\°+108\°=252\°$

therefore

The measure of arc EHL is $108\°$

The measure of arc EVL is $252\°$

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

$m$

we have

$x=108\°$

substitute

$m$

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3 years ago

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Hope this is the answer that you are looking for. Have a great day!</span>

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2 years ago

What is the measure of ZB?​

What is the measure of ZB?