Question

3. Find the third angle of each of the following triangle.

Please help me ​

Answer 1

Answer:

/_XZY = 49°

/_ABC = 59°

/_FHG = 35°

/_GIH = 59°

Step-by-step explanation:

All the angles of a triangle have the sum as 180°.

I. /_XYZ+ /_YZX+ /_YXZ = 180°

47°+ /_YZX+ 84° = 180°

/_YZX= 180°-(47+84)°

/_YZX= 180°-131°

/_YZX= 49°

II. /_ABC+ /_ACB+ /_CAB = 180°

/_ABC+ 67°+ 84° = 180°

/_ABC = 180°-(67+54)°

/_ABC = 180°-121°

/_ABC = 59°

III. /_FHG+ /_GFH+ /_FGH = 180°

/_FHG+ 30°+ 105° = 180°

/_FHG = 180°-(30+105)°

/_FHG = 180°-135°

/_FHG = 35°

IV. /_GIH+ /_GHI+ /_HGI = 180°

/_GIH+ 90°+ 31° = 180°

/_GIH = 180°-(90+31)°

/_GIH = 180°-121°

/_GIH = 59°

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