Answer:
∠2 = 55°
Step-by-step explanation:
Given that the triangle has 2 congruent sides then the triangle is isosceles.
Thus the 2 base angle are congruent, both equal to ∠2
The sum of the 3 angles in a triangle = 180
7x + 6 + 7x + 6 + 70 = 180, that is
14x + 82 = 180 ( subtract 82 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
Hence
∠2 = 7x + 6 = (7 × 7) + 6 = 49 + 6 = 55°
Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F = 
m∠D =
°.
Now, let m∠A = m∠B = 
So, m∠C = m∠A + 30° = 
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180

Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180

Therefore, m∠F = 50°
m∠E = 50° and
m∠D = 
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
-13is negative and is 13 spaces away from 0. 15 is positive and is 15 spaces away from 0.
The value of g(x) = 2[f(x)]² - 1 is g(x) = 8x² + 8x + 1
<h3>How to find a function?</h3>
f(x) = 2x+1
Find
g(x) = 2[f(x)]² - 1
Hence,
g(x) = 2[2x + 1]² - 1
g(x) = 2[4x² + 4x + 1] - 1
g(x) = 8x² + 8x + 2 - 1
g(x) = 8x² + 8x + 1
learn more on function here: brainly.com/question/1442153
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