Question

In the given figure, ∠1 = ∠2 then the measurements of ∠3 and ∠4 are: d ​

Answer 1

Answer:

Let ∠1 & ∠2 be x and y.

58+x+y = 180 (Sum of all ∠s of Δ is 180)

58+2x = 180 (∠1 = ∠2 Given)

2x = 180 - 58

2x = 122

x = 122/2

x = 61 = y = 61

∠1 + ∠3 = 180              (Linear Pair)

61 + ∠3 = 180

∠3 = 180 - 61

∠3 = 119

∠2 + ∠4 = 180                    (Linear Pair)

61 + ∠4 = 180

∠4 = 180 - 61

∠4 = 119

Step-by-step explanation:

Answer 2

Answer:

<3=<4=119 DEGREES

Step-by-step explanation:

<1 +<2+58= 180      (ASP)

2<1=122

THEREDORE

<1=61

<1=<2=61

<1+<3=180   LENIAR PAIR ----------EQ.1

<2+<4=180      LENIAR PAIR--------------EQ.2

THEREFORE

<3=<4----------EQ.3

FROM EQ.1

<3=180-61

<3=119

FROM EQ.3

<3=<4=119 DEGREES

HOPE IT HELPS