- ABCD is a quadrilateral.
- We know, for a quadrilateral, the sum of all angles is equal to 360°.
- Here, angle A = (2x - 15)°
- Angle B = x°
- Angle C = (2x - 15)°
- Angle D = x°
- Therefore, [tex](2x - 15) + x + (2x - 15) + x = 360 \\ = > 2x + x + 2x + x - 15 - 15 = 360 \\ = > 6x - 30 = 360 \\ = > 6x = 360 + 30 \\ = > 6x = 390 \\ = > x = \frac{390}{6} \\ = > x = 65[/tex]
- So, the measure of angle A
- = (2x - 15)°
- = (2 × 65 - 15)°
- = (130 - 15)°
- = 115°
Answer:
115°
Hope you could understand.
If you have any query, feel free to ask.
