Consider these statements. 1. AB and AC are two sides of AABC and AB = AC
2. If two sides of a triangle are congruent, then the triangle is an
isosceles triangle.
Which conclusion can be drawn from these statements using
deductive reasoning?
A
m2ABC + m2ACB 90
B
AABC is an isosceles triangle.
с
Points A, B, and C are collinear.
BC = AC

B

Step-by-step explanation:

if we match the two informations we can say that the triangle is isosceles

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

step-by-step :