Answer:
The right answer is :
2 (108) and 3 (72)
Step-by-step explanation:
i did the test
The correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.
An isosceles triangle is a triangle which is having two sides equal to each other.
Firsty we have to find the value of x in the angles. We have been given that the triangle is isosceles because two sides are equal to each other and we know that angles opposite to two equal sides are also equal to each other.
So,
(4x+16)°+2(5x+7)°=180°
4x-16+10x+14=180
14x-2=180
14x=180+2
14x=182
x=182/14
x=13
Putting the value of x.
∠BCA=5x+7
=5*13+7
=65+7
=72
∠ABC=4x-16
=4*13-16
=52-16
=36
∠BAC=180-36-72
=180-108
=72
∠BCD=180-∠BCA
=180-72
=108°
Hence the correst angle measures in the triangle ABC is that m∠BAC=72° and ∠BCD=108°.
Learn more about isosceles triangle at https://brainly.com/question/1475130
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