IN the figure , BP is perpendicular to AC, angle PBC =25 and angle DAC = 30 , then find - Maths - Lines and Angles

Question

IN
the figure , BP is perpendicular to AC, angle PBC =25 and angle DAC
= 30 , then find the value of x ? (PLS ANS URGENTLY EXPERTS)

Lovina Kansal · Accepted Answer

Dear student
In △BPC, By angle sum property of triangle,∠BPC+∠PBC+∠PCB=180°⇒90°+25°+∠PCB=180°⇒∠PCB=65°In △ADC, By angle sum property of triangle,∠DAC+∠DCA+∠ADC=180°⇒30°+65°+∠ADC=180°⇒∠ADC=85°So, x+∠ADC=180°   [Linear Pair]⇒x+85°=180°⇒x=95°
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IN the figure , BP is perpendicular to AC, angle PBC =25 and angle DAC = 30 , then find the value of x ? (PLS ANS URGENTLY EXPERTS)