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43. ^aHo: ABCD — napajuiejiorpaMM.

a) oflHH H3 yrjiOB 110°; 6) o«hh H3 yrjiOB Ha 70° MeHbrne flpyroro; b) cyMMa #Byx yrjiOB 90°; r) anaroHajib o6pa3yeT co cto-poHaMH yrjibi 30° h 45°.

HaiiTH: yrjibi napajuiejiorpaMMa. a) nycTb ZA =110°; Zg,= AC; AB = AD (no cBoiicTBy yrjiOB ttapajiJiejiorpaMMa) => ^>AC= 110°. \ę<y

IIocKOJibKy cyśnyia coce/i;HHx yrjiOB 180°, to ZA + AbO.180° => AB = 180° - 110° = = 70°; AB = AD = 70°.

Omeem: 110°, 70°, 110°, 70°.

6) IIocKOJibKy npoTHBOJiejłcamHe yrjibi paBHbi, to aaHHbie yrjibi mo-ryT 6biTb TOJibKO coce^HH^. IlycTb ZA 6ojibme AB Ha 70°,x(^b. ZA = x => AB - x + 70°. no ęso0CTBy coceaHHx yrjiOB napa^jiejiorpaMMa ZA + +AB = =180°; x + x +180°; 2x = 110°; *= 5b°;AA=5^\>AB = 55° + 70° = 125°. no CBOHCTB^_;rfpoTHBOJie>Kaiii;Hx yrjiOB: AC = ZA, Jd = AB.

Omeem: 55°, 125°, 55°, 125°. b) nocKOJibKy cyMMa cocea;HHx yrjiOB 180°, to aaHHbie yrjibi MoryT 6biTb TOJibKO npoTH-BOJiejKam,HMH. nycTb ZA + ZC^= 90°. Toiyja no CBOHCTBy yrjiOB napajuieAorpaMMa ZA = =AC =90:2 = 45°. ZA h AJ$ — coceflHHe => ZA + Z£ = 180° => Z^41S'5⁰;

AD = AB= 135°.

Omeem: 45°, 10^>A5^O, 135°. r) nocKOJibKy^ + 45° < 90°, to anaroHajib Bbixo^HT H3^epmHHbi ocTporo yrjia. no aKCHOMe H3MepeHHH yrjiOB ABAD = =ABAC + AC AD = 30° + 45° = 75°.

ABAD u AB — coce^Hne => AB + ZA = = 180° => AB = 105°.

no CBoiicTBy yrjiOB napajuiejiorpaMMa: AB = AD = 105°; ZA = ZC= 75°.

Omeem: 105°, 75°, 105°, 75°.

Peuie6a.MM