Question

with reference fill the missing angles in the table​

Answer 1

Answer:

(i)<XZA+<XZY=180°

<XZA+80°=180°

<XZA=180°-80°

<XZA=100°

(ii)<YXZ+<XYZ+<XZY=180°

36°+45°+<XZY=180°

81°+<XZY=180

<XZY=180°-81°

<XZY=99°

<XYZ+<ZYC=180°

45°+<ZYC=180°

<ZYC=180°-45°

<ZYC=135°

(iii)<YXZ+<XYZ+<XZY=180°

<YXZ+34°+110°=180°

<YXZ+144°=180

<YXZ=180°-144°

<YXZ=36°

<YXB+<YXZ=180°

<YXB+36°=180°

<YXB=180°-36°

<YXB=144°

(iv)<XZY+<XZA=180°

<XZY+120°=180°

<XZY=180°-120°

<XZY=60°

<YXZ+<XYZ+<XZY=180°

30°+<XYZ+60°=180°

<XYZ+90°=180°

<XYZ=180°-90°

<XYZ=90°

(v)<XYZ+<ZYC=180°

<XZY+98=180°

<XZY=180°-98°

<XZY=82°

<YXZ+<XYZ+<XZY=180°

45°+<XYZ+82°=180°

<XYZ+127°=180°

<XYZ=180°-127°

<XYZ=53°

(vi)<YXZ+<BXY=180°

<YXZ+90°=180°

<YXZ=180°-90°

<YXZ=90°

<YXZ+<XYZ+<XZY=180°

90°+30°+<XZY=180°

<XZY+120°=180°

<XYZ=180°-120°

<XYZ=60°

(vii)<YXZ+<XYZ+<XZY=180°

40°+<XYZ+55°=180°

<XYZ+95°=180°

<XYZ=180°-95°

<XYZ=85°

<XZY+<XZA=180°

55°+<XZA=180°

<XZA=180°-55°

<XZA=125°

(viii)<YXZ+<XYZ+<XZY=180°

78°+56°+<XZY=180°

134°+<XZY=180

<XZY=180°-134°

<XZY=46°

<XYZ+<ZYC=180°

46°+<ZYC=180°

<ZYC=180°-46°

<ZYC=134°