Question

Give the answer with explanation ​

Answer 1

Answer:

• 2 × z°     = 90°
• (3x - 7)° = 44°
• z = 45
• x = 17

Step-by-step explanation:

By looking at the SIDES of the Δ, we come to know that it is a RIGHT-ANGLE TRIANGLE.

The sides of the Δ are PYTHAGOREAN TRIPLET.

[BC]² = [AC]² + [AB]²

[10]² = [6]² + [8]²

100  = 36 + 64

100  = 100

∴ L.H.S. = R.H.S.

Since BC is the Hypotenuse, ∠BAC is 90°       [∵ Side opp. to 90° is hypo.]

⇒ ∴ 2 × z° = 90°

⇒ z°           = 45°            ←ANSWER

⇒ [3x - 7]° + 2z° + 46° = 180°

⇒ [3x - 7]° + 90° + 46° = 180°

∴ [3x - 7]° = 180° - 136°  

                = 44°         ←ANSWER

∴ [3x - 7]° = 44°

∴ 3x = 51

∴ x = 17

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