Question

calculate the value of x. ​

Answer 1

Step-by-step explanation:

if u see <ABC + 130 = 180 by linear pair

so <ABC = 180-130 =50

we ll apply it at <ACB also .

so <ACB = 180 - 122 = 58

now in Triangle ABC

× + 50 + 58 = 180 (A.SP of triangle)

× = 180 - 108

= 72

thus x = 72

Answer 2

Answer:

72⁰

Step-by-step explanation:

∠ABC = 180⁰ - 130⁰ (linear pair)

∴ ∠ABC = 50⁰

Similarly, ∠ACB = 180⁰ - 122⁰ (linear pair)

∴ ∠ACB = 58⁰

In ∆ABC,

∠ABC + ∠ACB + ∠BAC = 180⁰ (angle sum property of triangle)

∴ 50⁰ + 58⁰ + x = 180⁰

∴ 108⁰ + x = 180⁰

∴ x = 180⁰ - 108⁰

∴ x = 72⁰

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