Answer:
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Answer:
x=9
<A=23
<B= 69
Step-by-step explanation:
1. 2x+5+3(2x+5)=92 2. 2x+5+6x+15=92 3. 8x+20=92 4. 8x=72 5. x=9
<A= 2(9)+5=18+5=23
<B= 3(2(9)+5)=3(23)=69
Triangles congruent by ASA have two pairs of congruent sides and an included congruent angle.
The graph indicates that sides TV, HG, and AB are congruent, and that sides TU, FG, and BC are congruent. It also indicates that angles U, F, and C are congruent, and that angles G and B are congruent. Notice that angle U of triangle TUV is not an included angle; this eliminates triangle TUV as it can't be congruent to another triangle by ASA with the information provided.
That leaves triangles FGH and ABC. Evidently, angles G and B are included angles, so these triangles are congruent by ASA.
Answer:
b. ΔHGF and ΔABC