If in - XYZ- XY - 6-5 units- - XYZ - 55- and - YXZ - 70- then which of the following options will be the length of YZ-

Let’s first construct Δ XYZ using the ASA criterion. nbsp; 1. Let’s draw the line segment XY = 6.5 units. 2. nbsp;Next, we will draw a 70^∘ angle at verte ...

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Byju's Answer

Standard IX

Mathematics

Euclidean Geometry

If in Δ XYZ, ...

Question

If in $Δ X Y Z, X Y = 6.5 units, ∠ X Y Z = 55^{\circ}$ , and $∠ Y X Z = 70^{\circ}$ , then which of the following options will be the length of YZ?
7.5

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Solution

The correct option is A 7.5
Let’s first construct $Δ X Y Z$ using the ASA criterion.

1. Let’s draw the line segment $X Y = 6.5 u n i t s$ .

2. Next, we will draw a $70^{\circ}$ angle at vertex $X$ .

3. Finally, we will draw a $55^{\circ}$ angle at vertex $B$ .
Measuring the length of $Y Z$ using a ruler, we find that it is approximately $7.5 units .$

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If in ΔXYZ,XY=6.5 units, ∠XYZ=55∘, and ∠YXZ=70∘, then which of the following options will be the length of YZ?7.5

If in $Δ X Y Z, X Y = 6.5 units, ∠ X Y Z = 55^{\circ}$ , and $∠ Y X Z = 70^{\circ}$ , then which of the following options will be the length of YZ?
7.5