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3 years ago

Need help asap !!!!!

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:

The answer is x = 5.

Step-by-step explanation:

Given:

Δ ABC is an Isosceles triangle with AB = CA

m∠ ABC = ( 6x + 4 )°

m∠ BAC = 73°

m∠ BCA = ( 8y - 7 )°

To Find:

x = ?

Solution:

Properties of an Isosceles Triangle.

Base angles or two angles are equal.
Any two sides are equal.

Here , Δ ABC is an Isosceles triangle with AB = CA

∴ m∠ BAC = m∠ BCA

$73= 8y-7\\8y=73+7\\8y=80\\y=\frac{80}{10} \\y=10$

∴ m∠ BCA = ( 8y - 7 )°

= 8 × 10 - 7

m∠ BCA = 73 Which is same as ∠ CAB

Property of a Triangle is Sum of the measures of the angle of a triangle is 180°.

$\angle ACB + \angle CAB + \angle CBA = 180$

Substituting the values we get,

$73 + 73 + (6x+4) = 180\\6x+4=180-146\\6x=34-4\\6x=30\\x=\frac{30}{6} \\x=5\\$

The answer is x = 5.

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