Determine if the triangles, ΔSXC and ΔDXY, are similar. If so, identify the similarity criterion.
2 answers:
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Answer:
C. 73 if I have read the given angle measurements correctly.
The angle measurements I see are:
.
Step-by-step explanation:
Those angles together form a full rotation. A full rotation is equal to 360 degrees.
So we have the following equation to solve:
Combine like terms:
Simplify:
Divide both sides be 2:
Subtract 107 on both sides:
The picture in the attached figure
step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2
step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35
hence
the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]
step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2
step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35
hence
the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]